Finding Converse and Contrapositive

[ver_mathstats]

Homework Statement

Find the converse and contrapositive of the statement:

If n² is even, then n is even.

Homework Equations

The Attempt at a Solution

Converse: If n is even, then n² is even.

Contrapositive: If n is not even, then n² is not even.

Can someone check these over for me to make sure I am doing them correctly?

Thank you.

 

[fresh_42]

This is correct. Here's a list of them:
https://en.wikipedia.org/wiki/Contraposition
which I had to use, since I am regularly confused if I have to match the words and their meaning.

 

[ver_mathstats]

This is correct. Here's a list of them:
https://en.wikipedia.org/wiki/Contraposition
which I had to use, since I am regularly confused if I have to match the words and their meaning.

Thank you for the list. I just wanted to make sure I am on the right track when it comes to converse and contrapositive.

 

[Mark44]

Contrapositive: If n is not even, then n² is not even.

You could also say "odd" in both places rather than "not even."

 

[ver_mathstats]

You could also say "odd" in both places rather than "not even."

Oh yes, that is very true.