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
Total Pageviews
24,578
Thursday, May 5, 2011
What is a question?
Any good question will do when posting a question. For example,
What is the difference between the converse and the contrapositive of a conditional statement?
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9 degrees. Each of the sides of the lot that face these streets is 150 ft. long. Find the length of the third side, to the nearest foot.
A conditional statement, symbolized by p,q, is an if-then statement.Where p is a hypothesis and q is a conclusion. The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
A biconditional statement is defined to be true whenever both parts have the same truth value. The biconditional pq represents "p if and only if q," where p is a hypothesis and q is a conclusion.
ex; Biconditional: A triangle is isosceles if and only if it has two congruent sides.
ex;Conditional: If a rectangle does not have 4 sides, then a square is not a quadrilateral.
A vacant lot is in the shape of an isosceles triangle. It is between two streets that intersect at an 85.9 degrees. Each of the sides of the lot that face these streets is 150 ft. long. Find the length of the third side, to the nearest foot.
ReplyDeleteHow is a biconditional statement different from a conditional statement?
ReplyDeleteAlso provide an example for both biconditional and conditional statements.
A conditional statement, symbolized by p,q, is an if-then statement.Where p is a hypothesis and q is a conclusion. The conditional is defined to be true unless a true hypothesis leads to a false conclusion.
ReplyDeleteA biconditional statement is defined to be true whenever both parts have the same truth value. The biconditional pq represents "p if and only if q," where p is a hypothesis and q is a conclusion.
ex; Biconditional:
A triangle is isosceles if and only if it has two congruent sides.
ex;Conditional:
If a rectangle does not have 4 sides, then a square is not a quadrilateral.
Which Conditional and its converse form a true biconditional?
ReplyDeleteWhich answer could it be?
a) If x² = 4, then x=2
b) If x= 3, then x² = 9
c) If x=19, then 2x-3 = 35
d) If x > 0, then | x | > 0