This blog is an interactive math classroom where my students will be engaged in answering questions pertaining to my lessons and post comments about other students' comments. This blog will serve as an online learning experience for my self and my students. Parents are also encouraged to participate by providing reflective comments about this blog.
Alfredo Contreras
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Friday, May 6, 2011
Regular Geometry Questions and Summaries
Regular Geometry students, post your questions and summaries here.
Today in class we reviewed for tomorrow's test. We worked in groups and went over biconditional statements. We also worked on conditional statements such as converse and contrapositive. We also did reasoning with properties from algebra.
May 9, 2011 Today in class we reviewed conditional statements. Conditional statements have two parts one part is the hypothesis and also a conclusion. The statement has to be written in the if then form. We also reviewed properties of algebra like addition property and subtraction property.These things will be on the test.
Today we reviewed on how to write ratios, which ratios of a/b can also be written in the form a:b because, ratio is a quotient,were b its denominator cannot be zero.Ratios are also usually expressed in simplified form; For instance the ratio of 6:8 is usually simplified as 3:4. We also worked on distributive properties.
Today in class we corrected our test in our notebooks, and after that we reviewed on how to solve equations using distribution property. For example: 3(2x + 5) = 3 [3 • 2x] + [3 • 5] = 3 (use distributive property)
6x + 15 = 3 (subtract 15 from both sides)
6x = –12 (divide 6 on both sides)
x = –2
and to check your answer is correct: 3(2x + 5) = 3(substitute x = –2 into the original equation)
Today in class our bellringer was a review on writing ratios and how to simplify them. We also reviewed solving algebraic equations using the distributive property.
A biconditional conatians "If-Then" Statement that is true in both directions. example of an conditional statement: pq. This be thought of as If p, then q AND If q then p. It is often presented as p "if and only if" q (sometimes shown as iff). The biconditional statement is only true when both p and q have the same truth values.
Today in Mr. Contreras class we did some ratios problems for the bell ringer. We went over the problems as a class and reviewed solving proportions by using cross multiplication.
Example: today in geometry class the ratio of boys to girls was 12:7.
Today's class objective was to review finding ratios and solving problems along with the review. Then we reviewed solving linear equations using the multi-step distributive property.
Today in mr. contreras geometry class we learned about rigid transformation and about the three basic transformation. one was reflections, the other was rotations, and the last one was translation.
Today in geometry class we reviewed the three basics rigid transformations which are: translations, rotation, and reflection. We also reviewed the distance formula and did some problems as the bell ringers and then we reviewed it as a class.
Today in class we practiced on how to identify transformations and how to sketch real functions on graph paper. we also learned that if one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent.
The word transform means "to change." In geometry, a transformation changes the position of a shape on a coordinate plane. What that really means is that a shape is moving from one place to another. There are three basic transformations:
In class today we had a bell ringer based on isometry. We also did some problems using algebra. We reviewed the bell ringer as a class and also discussed them . We were also able to identify and sketch reflections in the coordinate plane. We reviewed the quiz we had yesterday and by the end of the class period we sketch our own shapes in the coordinate plane making the sketch a reflection.
Today we practiced on angel measures, parallel lines, distance between point, translation, reflection and rotation and how to reflect it from the x-axis and y-axis.
Today in class we identified the three basic rigid transformation using images, which are reflections, rotations, and translations. Also we learned about isometry. Isometry is a transformation of the preserve angle measures, parallel lines, and distances between points. Transformations that are isometries are rigid transformations.
Devin's bathroom measures 6 feet by 10 feet. He wants to cover the floor with square tiles. The sides of the tiles are 6 inches. How many tiles will Devin need?
In Mr. Contreras class we had a very easy bell ringer on parallel lines. We continued to sketch translation on the coordinate plane. We also learned a new term; a rotation which is a transformation in which is a figure is turned about a fixed point. We learned the rotation theorem; a rotation is an isometry. Finally we were able to identify rotation in a coordinate plane.
Today in class,we learned about how to identify and draw translations in the coordinate plane. First,we learned how to describe translations as class work,then we learned to complete the statement using the description of the translation.For homework,we practiced using translations in the coordinate plane.
In short, a transformation is a copy of a geometric figure, where the copy holds certain properties. (Eg. Think of when you copy/paste a picture on your computer). The original figure is called the pre-image; the new (copied) picture is called the image of the transformation. A rigid transformation is one in which the pre-image and the image both have the exact same size and shape.
Today in class, I learned how to identify and draw translations on a coordinate plane. For classwork, I indentified and learned about translations and for homework I drew translations on a coordinate plane.
A square garden has a perimeter of 48 meters. A pond inside the garden has an area of 20 square meters. What is the area of the garden that is not taken up by the pond?
In Geometry, "Translation" simply means moving without rotating, resizing or anything else, just moving. Every point of the shape must move the same distance in the same direction.
Example: If we want to say that the shape gets moved 30 Units in the "X" direction, and 40 Units in the "Y" direction we can write:
This says "all the x and y coordinates will become x+30 and y+40"
Today in geometry class we were able to do a bellringer's on reflections. We also had work from our book on refelction points. In the end of class we did work on our notebook and did a summary.
Today in class we identified translations using vector notation. Vector is a quantity that has both direction and magnitude, and is represented by an arrow drawn between two points.
in a transversal, you have 2 lines (AB and CD) whose Slopes are 3/2 and 3/2 intersecting the transversal (EF), and the slope of the transversal is negative 2/3. Their points of intersection are G and H. What is the measure of angle AGE
A right circular cylinder has a radius of 3 and a height of 5. Which of the following dimensions of a rectangular solid will have a volume closest to the cylinder.
a perpendicular segment is drawn from B in rectangle ABCD to meet AC at point X. Side AB is 6 cm and diagonal AC is 10 cm. How far is point X from the midpoint M of the diagonal AC?
When finding the sin, cos, and tan of a triangle how come you cant find them for certain points? Like if line s to t is 65, t to r is 56, and r to s is 33, why can I only look for the sin, cos, and tan of points t and s?
In geometry class today , we did the bell ringer based on chapter 9. We continued to review chapter 9 during the whole class period. For example we went over what an acute, obtuse and right angle are. We also went over sin, cosine, and tangent. We did some problems on the board and some problems on our own and when we were done we went over them as a class.
The ratio of the measures of the sides of a triangle is 4:6:8, and its perimeter is 126ft. What are the measures of the sides of the triangle? Add 4, 6, and 8
You get 18
The perimeter of your triangle seems to be about 7 times this.
That means the side lengths are 7 times 4, 6, and 8
today in geometry class we went over and discussed about the Pythagorean theorem and using a^2+b^2=c^2 to solve equations.Also reviewed for our final next week.
SUMMARY: (SIN,COS,& TAN). A right-angled triangle is a triangle in which one of the angles is a right-angle. The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. The opposite side is opposite the angle in question.
So in shorthand notation: sin = o/h cos = a/h tan = o/a Often remembered by: soh cah toa.
in geometry class we reviewed over transformations in the coordinate plain.Reflections in the x axis and y axis reflect A(-5,5)B(2,2)C(2,-3).You get on the y axis A(5,7)B(2,3)C(1,-4).
Today in geometry class we started off the day with the usual bell ringer. In this bell ringer, we reviewed chapter 7. We reviewed to find the coordinates of the reflection without using a coordinate plane. Mr. contreras did and example on the board then we did it on our own and discussed it as a class.
A ladder leans against a vertical wall. The top of the ladder is 7m above the ground. When the bottom of the ladder is moved 1m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?
For today's lesson, we reviewed finding the area of a regular polygon form chapter 11, for extra practice. We went over each question with Mr.Contreras.
The length of rectangle A is 24 cm and the length of rectangle B is 96 cm. The two rectangles are similar. Find the ratio of the area of A to the area of B.
A quadrilateral with vertices (-2,6) , (6,8) , (9,2) and (4,-1) is reflected on the x axis. What are the coordinates of the vertices of the quadrilateral after reflection?
The length of rectangle A is 24 cm and the length of rectangle B is 96 cm. The two rectangles are similar. Find the ratio of the area of A to the area of B.
Robert has an old family recipe for blueberry pancakes. He can make 8 pancakes that are each 10 inches in diameter. Robert decided that the pancakes were way too large for his grandchildren and decided to make pancakes that were only 2 inches in diameter. How many small pancakes will Robert's recipe make?
Two angles are supplementary if the sum of their angles equals 180. If one angle is known its supplementary angle can be found by subtracting the measure of its angle from 180.
To calculate the surface are of a cube, find the surface area of one side and multiply by 6. The surface area of any side is the length of a side squared.
a. The four angles of a quadrilateral add up to 340 degrees. b. The four angles of a quadrilateral add up to 280 degrees. c. The four angles of a quadrilateral add up to 360 degrees. d. The four angles of a quadrilateral add up to 210 degrees.
Given that ABC is a triangle such that AB=AC.If D is the mid point of BC , E is the foot of perpendicular from D to AC ,F is the mid point of DE.Then prove that F is perpendicular to BE.
A grassy plot in the form of a triangle with sides 45cm, 32cm, 35 cm.One horse is tied at each vertex of the plot with a rope of length 14m.Find the area grazed by the three horses.
ABC is an isosceles triangle with AB=AC.A circle through B touches the side AC at D and intersects AB at P.If D is the mid point of AC, then prove that AB=4AP.
In todays class,we had classwork to complete. page 825 (1-17). The work consisted of finding verticals, faces and vertex.It was also about finding the surface are of a cone and a right triangle. We were handed a study quide, that we are soppuse to use to study...The End..
Today in class, we worked on classwork: pg.825#1-17. It was a review for the final on thursday. We worked on questions 1-8 as a class. I reviewed how to find the surface area of a right prism, a solid, and a right cylinder. I also reviwed Euler's Theorem(F+V=E+2)
There is a triangle the right side of the triangle has a length of 12, the left side of the triangle has the length of 9 and the base/bottom of the triangle length is 15.Then what is the area of this triangle.
Water flows at the rate of 10m per minute through a cylindrical pipe 5 mm in diameter .How long would it take to full a conical vessels whose diameter is 40cm and depth is 24cm.
Water is flowing at the rate of 5 km/hr through a pipe of radius 7cm.Find the time taken by it to fill a cylindrical tank of radius 14m and height 20m.
A swimming pool is 50m long and 15m wide.Its shallow and deep ends are 1 1/2m and 4 1/2m deep respectively.If the bottom of the pool slopes uniformly, find the amount of water required to fill the pool.
A rectangular container , whose base is a square of side 6 cm , stands on a horizontal table and holds water upto 1cm from the top. When a cube is placed in the water and is completely submerged , the water rises to the top and 2 cm^3 of water overflows.Calculate the volume of the cube.
Diagonals of AC and BD of a parallelogram ABCD intersect at O.Given that AB=12cm and perpendicular distance between AB and DC is 6cm. Calculate the area of the triangle AOD.
A foot path of uniform width runs all around the inside of a rectangular field of 50m long and 38m wide.If the area of the path is 492m^2 , find its width.
The area of a parallelogram is p cm^2 and its height is q cm.A second parallelogram has equal area but its base is r cm more than that of the first.Obtain an expression in terms of p,q,r for the height h of the second parallelogram.
A rectangular garden of 10m by 16m is to be surrounded by a concrete walk of uniform width.Given that the area of the walk is 120m^2, assuming the width of walk to be x , form an equation in x and solve it to find the value of x.
Today in class we reviewed for tomorrow's test. We worked in groups and went over biconditional statements. We also worked on conditional statements such as converse and contrapositive. We also did reasoning with properties from algebra.
ReplyDeleteIf two sides of two adjacent acute angles are perpendicular, then the angles are what?
ReplyDeleteWhat does a biconditional statement contain?
ReplyDeleteMay 9, 2011
ReplyDeleteToday in class we reviewed conditional statements. Conditional statements have two parts one part is the hypothesis and also a conclusion. The statement has to be written in the if then form. We also reviewed properties of algebra like addition property and subtraction property.These things will be on the test.
Today we reviewed on how to write ratios, which ratios of a/b can also be written in the form a:b because, ratio is a quotient,were b its denominator cannot be zero.Ratios are also usually expressed in simplified form; For instance the ratio of 6:8 is usually simplified as 3:4. We also worked on distributive properties.
ReplyDeleteToday in class we corrected our test in our notebooks, and after that we reviewed on how to solve equations using distribution property.
ReplyDeleteFor example:
3(2x + 5) = 3
[3 • 2x] + [3 • 5] = 3 (use distributive property)
6x + 15 = 3 (subtract 15 from both sides)
6x = –12 (divide 6 on both sides)
x = –2
and to check your answer is correct:
3(2x + 5) = 3(substitute x = –2 into the original equation)
3((2 • –2) + 5) = 3
Today in class our bellringer was a review on writing ratios and how to simplify them. We also reviewed solving algebraic equations using the distributive property.
ReplyDeleteA biconditional conatians "If-Then" Statement that is true in both directions.
ReplyDeleteexample of an conditional statement: pq. This be thought of as If p, then q AND If q then p. It is often presented as p "if and only if" q (sometimes shown as iff). The biconditional statement is only true when both p and q have the same truth values.
Today in Mr. Contreras class we did some ratios problems for the bell ringer. We went over the problems as a class and reviewed solving proportions by using cross multiplication.
ReplyDeleteExample: today in geometry class the ratio of boys to girls was 12:7.
Summary Date:05/11/11
ReplyDeleteDiego Zavala 8th pd
Today's class objective was to review finding ratios and solving problems along with the review. Then we reviewed solving linear equations using the multi-step distributive property.
EXAMPLE: 5(X-5)=20 <-- Given
5x-25=20 <-- DISTRIBUTIVE PROPERTY
+25 +25 <--- Addition prop.
5x=40 <-- division prop.
x=7 <---answer
Today in mr. contreras geometry class we learned about rigid transformation and about the three basic transformation. one was reflections, the other was rotations, and the last one was translation.
ReplyDeleteToday in geometry class we reviewed the three basics rigid transformations which are: translations, rotation, and reflection. We also reviewed the distance formula and did some problems as the bell ringers and then we reviewed it as a class.
ReplyDeleteToday in class we practiced on how to identify transformations and how to sketch real functions on graph paper. we also learned that if one shape can become another using Turns, Flips and/or Slides, then the two shapes are called Congruent.
ReplyDeleteThe width and height of a rectangle are usually different, If they are the same, then the rectangle becomes what other shape?
ReplyDeleteIs the conclusion true or false...
ReplyDeleteIf n(2,4) is reflected in the line y=2, then n' is (2,0).
Definition of Transformation:
ReplyDeleteThe word transform means "to change." In geometry, a transformation changes the position of a shape on a coordinate plane. What that really means is that a shape is moving from one place to another. There are three basic transformations:
* Flip (Reflection)
* Slide (Translation)
* Turn (Rotation)
In class today we had a bell ringer based on isometry. We also did some problems using algebra. We reviewed the bell ringer as a class and also discussed them . We were also able to identify and sketch reflections in the coordinate plane. We reviewed the quiz we had yesterday and by the end of the class period we sketch our own shapes in the coordinate plane making the sketch a reflection.
ReplyDeleteToday we practiced on angel measures, parallel lines, distance between point, translation, reflection and rotation and how to reflect it from the x-axis and y-axis.
ReplyDeleteThe length of a rectangular field is 75 meters.
ReplyDeleteIts width is 15 meters.
Mr. Contreras ran around the track 3 times.
How far did he run?
Today in class we identified the three basic rigid transformation using images, which are reflections, rotations, and translations. Also we learned about isometry. Isometry is a transformation of the preserve angle measures, parallel lines, and distances between points. Transformations that are isometries are rigid transformations.
ReplyDeleteDevin's bathroom measures 6 feet by 10 feet.
ReplyDeleteHe wants to cover the floor with square tiles.
The sides of the tiles are 6 inches.
How many tiles will Devin need?
In Mr. Contreras class we had a very easy bell ringer on parallel lines. We continued to sketch translation on the coordinate plane. We also learned a new term; a rotation which is a transformation in which is a figure is turned about a fixed point. We learned the rotation theorem; a rotation is an isometry. Finally we were able to identify rotation in a coordinate plane.
ReplyDeleteMarcus used 80 meters of fencing to cover up a rectangular garden.
ReplyDeleteThe length of the garden is 25 meters.
How wide is the garden?
A QUANTITY THAT HAS BOTH DIRECTION AND MAGNITUDE, AND IS REPRESENTED BY AN ARROW DRAWN BETWEEN TWO POINTS IS CALLED A WHAT?
ReplyDeleteUsing the Distance Formula. Are AB and CB congruent? What is the Distance?
ReplyDeleteA (-6,4)
B (1,3)
C (8,4)
Today in class,we learned about how to identify and draw translations in the coordinate plane. First,we learned how to describe translations as class work,then we learned to complete the statement using the description of the translation.For homework,we practiced using translations in the coordinate plane.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteIn short, a transformation is a copy of a geometric figure, where the copy holds certain properties. (Eg. Think of when you copy/paste a picture on your computer).
ReplyDeleteThe original figure is called the pre-image; the new (copied) picture is called the image of the transformation.
A rigid transformation is one in which the pre-image and the image both have the exact same size and shape.
Today in class, I learned how to identify and draw translations on a coordinate plane. For classwork, I indentified and learned about translations and for homework I drew translations on a coordinate plane.
ReplyDeleteA square garden has a perimeter of 48 meters.
ReplyDeleteA pond inside the garden has an area of 20 square meters.
What is the area of the garden that is not taken up by the pond?
Define translation and give an example of how it is represented.
ReplyDeleteWhat is an initial point and a terminal point?
ReplyDeleteIn Geometry, "Translation" simply means moving without rotating, resizing or anything else, just moving.
ReplyDeleteEvery point of the shape must move the same distance in the same direction.
Example: If we want to say that the shape gets moved 30 Units in the "X" direction, and 40 Units in the "Y" direction we can write:
This says "all the x and y coordinates will become x+30 and y+40"
When two or more transformations are combined to produce a single transformation, the result is called a what?
ReplyDeleteToday in geometry class we were able to do a bellringer's on reflections. We also had work from our book on refelction points. In the end of class we did work on our notebook and did a summary.
ReplyDeleteToday in class we identified translations using vector notation. Vector is a quantity that has both direction and magnitude, and is represented by an arrow drawn between two points.
ReplyDeleteExample 1: EF, where E(-1, -1) and F(2, 3)
<3,4>
Example 2: MN, where M(5, 5) and N(7, 9)
<2, 4>
Today in geometry class we were able to create translations in the coordinate plane using vectors and determine whether the statement was true.
ReplyDeleteExample: A(1, 4) B(6, 1) C(3, 0)
<2, 4>
A(3, 8) B(8, 5) C(5, 4)
What is the formula for finding the volume of a cylinder?
ReplyDeletethe component form of a vector combines what two components?
ReplyDeletein a transversal, you have 2 lines (AB and CD) whose Slopes are 3/2 and 3/2 intersecting the transversal (EF), and the slope of the transversal is negative 2/3. Their points of intersection are G and H. What is the measure of angle AGE
ReplyDeleteSupplementary angles are two or more angles that sum up to how many degrees?
ReplyDeletea)90
b)360
c)180
What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in. ?
ReplyDeleteTRUE or FALSE?
ReplyDeleteDoes the translation (x, y)(x + 4, y – 2) shift each point 4 units to the right and 2 units down?
Question: Supplementary angles are two or more angles that sum up to how many degrees?
ReplyDeletea)90
b)360
c)180
Answer: c)180° degrees.
A right circular cylinder has a radius of 3 and a height of 5. Which of the following dimensions of a rectangular solid will have a volume closest to the cylinder.
ReplyDeleteIf one leg of a right triangle is 17.2 cm and the other leg is 22.5 cm, what is the length of the hypotenuse?
ReplyDeleteThe coordinates of the vertices of quadrilateral PQRS are
ReplyDeleteP(-1, 3), Q(2, 1), R(0, -4), and S(-3, -2).
What name most precisely describes PQRS ?
Define the following words...
ReplyDeleteIsometry:
Rotation Theorem:
Rotation:
Vector:
Vertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
ReplyDeleteWhat is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?
ReplyDeleteWhat is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?
ReplyDeleteWhat is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 150?
ReplyDeleteIf the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
ReplyDeletea perpendicular segment is drawn from B in rectangle ABCD to meet AC at point X. Side AB is 6 cm and diagonal AC is 10 cm. How far is point X from the midpoint M of the diagonal AC?
ReplyDeleteWhen finding the sin, cos, and tan of a triangle how come you cant find them for certain points? Like if line s to t is 65, t to r is 56, and r to s is 33, why can I only look for the sin, cos, and tan of points t and s?
ReplyDeleteIn a 30−60−90 triangle where the length of hypotenuse is 20,the shorter leg is x,and the longer leg is y: a.Find x b.Find y
ReplyDeleteThe ratio of the measures of the sides of a triangle is 4:6:8, and its perimeter is 126ft. What are the measures of the sides of the triangle
ReplyDeleteIn geometry class today , we did the bell ringer based on chapter 9. We continued to review chapter 9 during the whole class period. For example we went over what an acute, obtuse and right angle are. We also went over sin, cosine, and tangent. We did some problems on the board and some problems on our own and when we were done we went over them as a class.
ReplyDeleteDefine the following words...
ReplyDeleteIsometry: is a transformation that preserves lengths.
Rotation Theorem: A rotation is an isometry
Rotation: is a transformation in which a figure is turned about a fixed point.
Vector:
If the sum of the interior angles of a regular polygon measures up to 1440 degrees, how many sides does the polygon have?
ReplyDeleteANSWER:The formula for interior angle is (n-2)*180
(10-2)*180 = 1440.
The answer is 10.
The ratio of the measures of the sides of a triangle is 4:6:8, and its perimeter is 126ft. What are the measures of the sides of the triangle?
ReplyDeleteAdd 4, 6, and 8
You get 18
The perimeter of your triangle seems to be about 7 times this.
That means the side lengths are 7 times 4, 6, and 8
28, 42, and 56
In todays lesson we worked on a review for the final which intailed conditional statements such as converse and contrapositive.
ReplyDeletetoday in geometry class we went over and discussed about the Pythagorean theorem and using a^2+b^2=c^2 to solve equations.Also reviewed for our final next week.
ReplyDeleteSUMMARY: (SIN,COS,& TAN).
ReplyDeleteA right-angled triangle is a triangle in which one of the angles is a right-angle. The hypotenuse of a right angled triangle is the longest side, which is the one opposite the right angle. The adjacent side is the side which is between the angle in question and the right angle. The opposite side is opposite the angle in question.
So in shorthand notation:
sin = o/h cos = a/h tan = o/a
Often remembered by: soh cah toa.
After a reflection in the x-axis, (10,-3) is the image of point E. What is the original location of point E?
ReplyDeletetoday in class we had a bellringer on transformations. we reviewed what was going to be on the junior final exam, and we did examples on it.
ReplyDeleteIf the original coordinates are S(-3,2) T(3,2) V(1,-2) R(-5,-2). And the transitions are (x,Y)> (x-3,Y+5), What will the S',T', V', R' be?
ReplyDeletein geometry class we reviewed over transformations in the coordinate plain.Reflections in the x axis and y axis reflect A(-5,5)B(2,2)C(2,-3).You get on the y axis A(5,7)B(2,3)C(1,-4).
ReplyDeletein geometry class we discussed on solving propections by using multiplication.A(11,1)B(3,6)=C(3,-4) m=y2-y1/x2-x1=6-1/3-11=5/-8.
ReplyDeletein geometry class we reviewed and solve for variable using congruent segments.ex 1/2(14x+8)=6x+8(7x+4=6x+8) -6x -6x/x+4=8.answear is x=4
ReplyDeleteToday in geometry class we started off the day with the usual bell ringer. In this bell ringer, we reviewed chapter 7. We reviewed to find the coordinates of the reflection without using a coordinate plane. Mr. contreras did and example on the board then we did it on our own and discussed it as a class.
ReplyDeleteVertices of a quadrilateral ABCD are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
ReplyDeleteWhat is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 1500?
ReplyDeleteA ladder leans against a vertical wall. The top of the ladder is 7m above the ground. When the bottom of the ladder is moved 1m farther away from the wall, the top of the ladder rests against the foot of the wall. What is the length of the ladder?
ReplyDeletefind the total surface area and the volume of a closed cylindrical container with radius 5cm and a height of 34cm
ReplyDeletea cube has a total surface area of the six faces equal to 150 square feet. what is the volume of the cube.
ReplyDeleteFor today's lesson, we reviewed finding the area of a regular polygon form chapter 11, for extra practice. We went over each question with Mr.Contreras.
ReplyDeleteA cube has a total surface area of the six faces equal to 150 square feet. what is the volume of the cube?
ReplyDeleteTHE ANSWER:
volume = 125 cubic feet
Find the total surface area and the volume of a closed cylindrical container with radius 5cm and a height of 34cm?
ReplyDeleteTHE ANSWER:
area = 390 pi square cm
volume = 850 pi cubic cm
This comment has been removed by the author.
ReplyDeleteThe length of rectangle A is 24 cm and the length of rectangle B is 96 cm. The two rectangles are similar. Find the ratio of the area of A to the area of B.
ReplyDeleteVertices of a quadrilateral A,B,C,D are A(0, 0), B(4, 5), C(9, 9) and D(5, 4). What is the shape of the quadrilateral?
ReplyDeleteWhat do you call an angle more than 90 degrees and less than 180 degrees? its obtuse
ReplyDeleteIf a circle has the diameter of eight what is the circumference?
ReplyDeleteA. 6.28
B. 12.56
C. 25.13
D. 50.24
E. 100.48
Angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measures of angles A and B,
ReplyDeleteA quadrilateral with vertices (-2,6) , (6,8) , (9,2) and (4,-1) is reflected on the x axis. What are the coordinates of the vertices of the quadrilateral after reflection?
ReplyDeleteThe side of cube A is 3 times the side of cube B. The volume of cube A is 3,375 cubic feet. Find the volume of cube B.
ReplyDeleteThe length of rectangle A is 24 cm and the length of rectangle B is 96 cm. The two rectangles are similar. Find the ratio of the area of A to the area of B.
ReplyDeleteFind all points of intersections of the circle x2 + 2x + y2 + 4y = -1 and the line x - y = 1
ReplyDeleteFind the area of the triangle enclosed by the x - axis and the lines y = x and y = -2x + 3.
ReplyDeleteFind the length of the third side of a triangle if the area of the triangle is 18 and two of its sides have lengths of 5 and 10.
ReplyDeleteRobert has an old family recipe for blueberry pancakes.
ReplyDeleteHe can make 8 pancakes that are each 10 inches in diameter.
Robert decided that the pancakes were way too large for his grandchildren and decided to make pancakes that were only 2 inches in diameter.
How many small pancakes will Robert's recipe make?
Two angles are supplementary if the sum of their angles equals 180.
ReplyDeleteIf one angle is known its supplementary angle can be found by subtracting the measure of its angle from 180.
What is the supplementary angle of 143?
ReplyDeleteSolution 180 - 143 = 37
To calculate the surface are of a cube, find the surface area of one side and multiply by 6. The surface area of any side is the length of a side squared.
ReplyDeleteHow many vertices does a solid rectangle have.
ReplyDeletea)14 vertices
b)7 vertices
c)11 vertices
d)8 vertices
What is 4 angles measure in a quadrilateral.
ReplyDeletea. The four angles of a quadrilateral add up to 340 degrees.
b. The four angles of a quadrilateral add up to 280 degrees.
c. The four angles of a quadrilateral add up to 360 degrees.
d. The four angles of a quadrilateral add up to 210 degrees.
Do all figures have a line of symmetry?
ReplyDeletea)yes
b)no
Give the definitions of complementary and supplementary angles?
ReplyDeleteWhat is the difference between congruent and similar?
ReplyDeleteIs the x axis.
ReplyDeletea.outside
b.vertical
c.cross
d. horizontal
what formula do you use when your dealing with right triangles,circles,parallelograms.
ReplyDeleteThe straight line x+2y+4=0 passes through (4,k), what is the value of k?
ReplyDeleteWhat is the length of the segment of two tangent lines to a circle of known radius which meet at a known angle at a common external point?
ReplyDeletecircles C1:x^2 + y^2 = 64 , C2 with radius 10. If C2 lies on y=x and C2 intersects C1 such that the length of common chord is 16, Find center C2.
ReplyDeleteGiven that ABC is a triangle such that AB=AC.If D is the mid point of BC , E is the foot of perpendicular from D to AC ,F is the mid point of DE.Then prove that F is perpendicular to BE.
ReplyDeleteThe straight line y=x-2 rotates about a point where it cuts x-axis and becomes perpendicular on the straight line ax+by +c =0 , then its equation is ?
ReplyDeleteA grassy plot in the form of a triangle with sides 45cm, 32cm, 35 cm.One horse is tied at each vertex of the plot with a rope of length 14m.Find the area grazed by the three horses.
ReplyDeleteIn circle A, angle DCB is 42 degrees. What is the measure of minor arc CD?
ReplyDeleteA cone has a volume of 12,288 pi cubic inches, and the vertex angle of the vertical cross section is 60 degrees. What is the height of the cone?
ReplyDeleteDetermine the ratio in which the line 2x+y-4=0 divides the line segment joining the points A(2,-2) and B(3,7).
ReplyDeleteD is a point on the side BC of a triangle ABC such that angle ADC =angle BAC . Show that CA^2=CB. CD
ReplyDeleteABC is an isosceles triangle with AB=AC.A circle through B touches the side AC at D and intersects AB at P.If D is the mid point of AC, then prove that AB=4AP.
ReplyDeleteIn a triangle ABC , angle ABC=135 degree.Prove that AC^2=AB^2+BC^2+4 area of triangle ABC.
ReplyDeleteIn todays class,we had classwork to complete. page 825 (1-17). The work consisted of finding verticals, faces and vertex.It was also about finding the surface are of a cone and a right triangle. We were handed a study quide, that we are soppuse to use to study...The End..
ReplyDeleteToday in class, we worked on classwork: pg.825#1-17. It was a review for the final on thursday. We worked on questions 1-8 as a class. I reviewed how to find the surface area of a right prism, a solid, and a right cylinder. I also reviwed Euler's Theorem(F+V=E+2)
ReplyDeleteThere is a triangle the right side of the triangle has a length of 12, the left side of the triangle has the length of 9 and the base/bottom of the triangle length is 15.Then what is the area of this triangle.
ReplyDeleteapply (x,y)->(x+1,y-4) to the following points,
ReplyDeleteS(-7,11) T(-1,11) V(-3,7) R(-9,7)
Identify shapes of cross sections:
ReplyDelete4-quadrilateral, 5-pentagon, 6-hexagon, 7-heptagon, 8-octagon, 9-nohagon, 10-decagon, 11-hendecagon, 12-dodecago.
A right rectangular prism with a height of 10ft, length of 3ft and a width of 6ft.
ReplyDeleteB=lw =6(3) =18 P=18
Sa=2B+Ph
=2(18)+18(10)
=216
A right cylinder with a diameter of 2.4in. and a height of 6.1in.
ReplyDeleteS=2π r^2 + 2πrh
=2π(1.2)^2+2π(1.2)(6.1)
=55
From a point , two tangents PA and PB are drawn to a circle with center O ,such that angle APB=120 degree .Prove that OP=2AP
ReplyDeleteA right triangle having sides 7cm,24cm and 25cm is revolved along the side of 25cm.Find the volume and the total surface area of the solid generated
ReplyDeleteWater flows at the rate of 10m per minute through a cylindrical pipe 5 mm in diameter .How long would it take to full a conical vessels whose diameter is 40cm and depth is 24cm.
ReplyDeleteWater is flowing at the rate of 5 km/hr through a pipe of radius 7cm.Find the time taken by it to fill a cylindrical tank of radius 14m and height 20m.
ReplyDeleteAD=2cm. ABCD is a rectangle.EG is parallel to FH.FI is parallel to JK.DE=2cm EF=2cm FJ=2cm JC=2cm.BK=6cm.Find the area of the figure.
ReplyDeleteWhat does cross-section mean?
ReplyDeleteA swimming pool is 50m long and 15m wide.Its shallow and deep ends are 1 1/2m and 4 1/2m deep respectively.If the bottom of the pool slopes uniformly, find the amount of water required to fill the pool.
ReplyDeleteA rectangular container , whose base is a square of side 6 cm , stands on a horizontal table and holds water upto 1cm from the top. When a cube is placed in the water and is completely submerged , the water rises to the top and 2 cm^3 of water overflows.Calculate the volume of the cube.
ReplyDeleteDiagonals of AC and BD of a parallelogram ABCD intersect at O.Given that AB=12cm and perpendicular distance between AB and DC is 6cm. Calculate the area of the triangle AOD.
ReplyDeleteA foot path of uniform width runs all around the inside of a rectangular field of 50m long and 38m wide.If the area of the path is 492m^2 , find its width.
ReplyDeleteThe area of a parallelogram is p cm^2 and its height is q cm.A second parallelogram has equal area but its base is r cm more than that of the first.Obtain an expression in terms of p,q,r for the height h of the second parallelogram.
ReplyDeleteA rectangular garden of 10m by 16m is to be surrounded by a concrete walk of uniform width.Given that the area of the walk is 120m^2, assuming the width of walk to be x , form an equation in x and solve it to find the value of x.
ReplyDeleteThe perimeter of a rhombus is 45 cm. If its height is 8cm, calculate its area.
ReplyDeleteIn triangle ABC angle B=90 degree ,AB=2x+1cm and BC=x+1cm.If the area of triangle ABC is 60 cm^2 ,find its perimeter
ReplyDeleteABCD is a parallelogram. X and Y are the mid points of BC and CD respectively.Prove that area (ar) triangle AXY=3/8 ar of parallelogram ABCD.
ReplyDelete