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question 18 of 33 is △abc similar to △def? why or why not? a. yes, beca…

Question

question 18 of 33
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

Two triangles are similar if their corresponding angles are congruent.

Step2: Check angle - congruence

In $\triangle ABC$, angles are $25^{\circ},60^{\circ},95^{\circ}$. In $\triangle DEF$, angles are $24^{\circ},61^{\circ},95^{\circ}$. Corresponding angles are not congruent.

Answer:

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