isbeydeavalos isbeydeavalos

05-06-2018
Mathematics

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What is the inverse of the following statement?

A triangle is an acute triangle if it has three acute angles
Select the best answer from the choices provided.

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

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

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

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

Respuesta :

05-06-2018

Hi,
Let assume
p="the triangle have 3 acute angles"q="the triangle is a acute triangle"
the statement is p==>q
converse is q==>p
inverse is ~p==>~q
contrapositive is ~q==>~p
Answer is A
"If a triangle does not have three acute angles, then it is not an acute triangle."

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