Question

is △abc similar to △def? why or why not? a. yes, because the angles are congruent and the sides are proportional. b. yes, because the angles are close enough and the sides are proportional. c. no, because not all the angles are congruent. d. we cannot tell because the third side is not given.

Explanation:

Step1: Recall similarity - angle condition

Two triangles are similar if their corresponding angles are congruent.

Step2: Compare angles

In $\triangle ABC$, angles are $25^{\circ}$, $60^{\circ}$, $95^{\circ}$. In $\triangle DEF$, angles are $24^{\circ}$, $60^{\circ}$, $96^{\circ}$. The $60^{\circ}$ angles are equal, but $25^{\circ}
eq24^{\circ}$ and $95^{\circ}
eq96^{\circ}$.

Answer:

C. No, because not all the angles are congruent.