Question

What is the contrapositive of the statement ”If an angle measures more than 180 degrees, then it is a reflex angle”?

If an angle is a reflex angle, then it measures more than 180 degrees.

If an angle does not measure more than 180 degrees, then it is not a reflex angle.

If an angle is not a reflex angle, then it does not measure 180 degrees.

If an angle measures more than 180 degrees, then it is not a reflex angle.

Answer 1

@Hero @Gdeinward

so the third option is correct?

Answer 2

Correct

Answer 3

I think false

Answer 4

I thought so, but what threw me off was that then it does not measure 180 degrees. The previous statement referred to more than 180 degrees.

Answer 5

I think it might be a typo @Gdeinward

Answer 6

same.

Answer 7

is it possible to be the second option?

Answer 8

I dunno. Im not the best when it comes to proofs. I think @mhchen would be good for this

Answer 9

The converse is just:
"If two angles are congruent, then they are corresponding angles"

Is that always true?

I drew an example here. Angle A and B are congruent (vertical angles), but are they corresponding angles?