Help I’m failing
What is the inverse of the following statement?If a triangle has three congruent angles, then it is an equiangular triangle.


If a triangle does not have three congruent angles, then it is not an equiangular triangle.


If a triangle is equiangular, then it has three congruent angles.


If a triangle has three congruent angles, then it is an equiangular triangle.


If a triangle is not equiangular, then it does not have three congruent angles.

Respuesta :

DeanR

We never did inverse propositions when I had logic.  The inverse of

if P then Q

is the proposition

if not P then not Q

We have

P: A triangle has three congruent angles

Q: it is an equilangular triangle

The inverse is thus   if not P then not Q

If a triangle does not have three congruent angles then it is not an equilangular triangle.

Answer:  First choice

The reason we didn't do inverses is it has the same truth value as the converse; the inverse is the contrapositive of the converse.

ACCESS MORE
EDU ACCESS
Universidad de Mexico