Question

question 2 of 40 is △abc similar to △def? why or why not? a. yes, because the angles are close enough and the sides are proportional. b. no, because not all the angles are congruent. c. yes, because the angles are congruent and the sides are proportional. d. we cannot tell because the third side is not given.

Explanation:

Step1: Recall similarity criterion

For two triangles to be similar, their corresponding angles must be congruent.

Step2: Compare angles

In $\triangle ABC$, angles are $25^{\circ},95^{\circ},60^{\circ}$. In $\triangle DEF$, angles are $24^{\circ},95^{\circ},61^{\circ}$. Since $25^{\circ}
eq24^{\circ}$ and $60^{\circ}
eq61^{\circ}$, the angles are not all congruent. So the triangles are not similar.

Answer:

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