Question

Pam draws three scalene triangles. In each figure, she measures each angle, as shown.

Which conjecture is reasonable for Pam to make?


In a scalene triangle, none of the angles are congruent.

In a scalene triangle, one of the angles is obtuse.

In a scalene triangle, none of the angles are right angles.

In a scalene triangle, all of the angles are acute.

Answer 1

The correct answer is In a scalene triangle, none of the angles are congruent.

Step-by-step explanation:

A scalene triangle differs from an equilateral and isosceles triangle because in this triangle, the three sides are different in length, and therefore, the inner angles of the triangle have different measures. This implies in each of the triangles Pam drew there are not two equal angles. This makes it impossible for angles to be congruent or to have the same measure in degrees. Therefore, in these triangles none of the angles are congruent.