Question

You are given two triangles and the information that the three pairs of corresponding angles are congruent. Suppose you want to show that the triangles are similar. Which statement is true? A) No additional information is needed to show similarity. B) To show similarity, you must show that one pair of corresponding sides have the same measure. C) To show similarity, you must show that the three pairs of corresponding sides are proportional. D) To show similarity, you must show, that the three pairs of corresponding sides have the same measure.

Answer 1

Answer:

A

Step-by-step explanation:

They tell us that three angles are congruent therefore we can prove that both triangles are congruent by the AAA postulate no further information is needed.

Answer 2

No additional information is needed to show similarity.

Option A is correct.

Similar triangles :

Two triangles are said to be similar, if all three corresponding angles of both the triangles are congruent.

• Then, automatically corresponding sides of both triangles are in the same ratio.

• It is given that, the three pairs of corresponding angles are congruent.

• Thus, automatically corresponding sides of both triangles are in the same ratio and both triangles are similar.

So that, No additional information is needed to show similarity.

Learn more about the similarity of triangle here:

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