Question

If a triangle has one obtuse angle, then it is an obtuse triangle. . . Which of the following statements is the contrapositive of the conditional above? . Choose one answer.. a. If a triangle is not obtuse, then it has one obtuse angle.. b. If a triangle is obtuse, then it has one obtuse angle.. c. If a triangle is not obtuse, then it does not have one obtuse angle.. d. If a triangle does not have one obtuse angle, then it is not an obtuse triangle.

Answer 1

Answer: c. If a triangle is not obtuse, then it does not have one obtuse angle.

Explanation:

Hi, to answer this question we have to understand what is a conditional statement and a contrapositive statement.

A conditional statement has a hypothesis (if ) and a conclusion (then).

In this case :

If a triangle has one obtuse angle, then it is an obtuse triangle.

To form the contrapositive statement we have to interchange the hypothesis and the cause, in an inverse way (negation).

in this case:

If a triangle is not obtuse, then it does not have one obtuse angle.

Feel free to ask for more if it´s necessary or if you did not understand something.

Answer 2

d.If a triangle does not have one obtuse angle, then it is not an obtuse triangle.