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

4 Answers

lrwilliams's profile pic

lrwilliams | College Teacher | (Level 1) Educator

Posted on

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.

ask996's profile pic

ask996 | High School Teacher | (Level 1) Senior Educator

Posted on

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.

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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

epollock's profile pic

epollock | (Level 3) Valedictorian

Posted on

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.