Question

Can someone give me an example of a contra-positive statement please?

"If a polygon has four sides, then it is a quadrilateral"

Answer 1

I'm thinking "If a polygon is a quadrilateral, then it has four sides", but I'm not sure if that's right. The other choices are:

A. If a polygon is not a quadrilateral, then it does not have four sides.
B. If a polygon is a quadrilateral, then it does not have four sides.
D. If a polygon does not have four sides, then it is not a quadrilateral.

Answer 2

The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion.
I think It will be A

Answer 3

sorry missed the interchanging part so
The contrapositive of a conditional statement is formed by negating both the hypothesis and the conclusion and interchanging it

Answer 4

I'll try that. This is a practice review for the EOC and it's not graded. I just needed a little help figuring out what the contra-positive was again.

Thank you for helping.

Answer 5

You should try to understand the concept!
Can you figure out hypothesis and conclusion in the question

Answer 6

The hypothesis is the "If" statement, and the conclusion is then "then" statement.

Answer 7

Great :D
Now just use the definition of contra positive and you are good to go

Answer 8

I understand the concept, I just can't remember how to do the contra-positive, inverse, and converse statements.

Answer 9

K ...Good!