# Geometry-Conditional statementsdoes anyone have a simple explanation for conditional statements?

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While I'm not a math expert, I have been on e-notes for a few years. My advice would be to post a question on the e-notes question forum. Here you will find many expert teachers who can not only explain, but also give you examples of each type of statement. Try posting there, and you'll be pleased with the results. Good luck.

I would have to say, in my opinion, there are no simple explanations for anything in Geometry. However a conditional statement is an "if-then" statement. "If" being the hypothesis and "then" being the conclusion.

The conditional statement is a logical statement. The format of the statement is : If A, then B. This is written like A --> B in mathematical logic.The truth value table for this is :

A B A-->B.

T T T

T F F

F T T

F F T

We apply can apply this to the geometry:

Let a and b be the sides of a right angled triangle and c be the hypotenuse.

Then we make a conditional statement as below and try check its truth value . You have to read the truth value along with the heading carefully. If you just glance the table you may not appreciate the logic of the conditional statement.

"If a^2+b^2 = c^2 , then the triangle formed by the sides a,b and c is a right angled triangle" - is a conditional statement.

Now look the truth value statement for this:

A is "If a^2 +b^2 = c^2,'' B is "triangle formed is right angled'' A --> B

T T T

T F F

F T T

F T T

A conditional statement is similar to an if then statement in which A statement whose basic form is If p, then q. The statement p in this case is the hypothesis and the statement q in this case is the conclusion. Variations to this exist in the form of inverses and other such corollaries.