Question

Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles are similar?

A.Two pairs of corresponding angles and one pair of corresponding sides.
B.Two pairs of corresponding sides and one pair of corresponding angles.
C.Two pairs of corresponding angles.
D.Two pairs of corresponding sides.

Answer 1

C.Two pairs of corresponding angles.

Explanation:

Given that Triangle XYZ has been dilated to form triangle LMN.

For two triangles to be similar we must have either corresponding angles are congruent or corresponding sides are similar

When we are given two angles are equal, third angle would be 180 -(sum of two angles) would automatically be congruent.

Hence correct answer would be

C.Two pairs of corresponding angles.

Answer 2

Two pairs of corresponding angles gives the least information needed to prove the two triangles are similar because the rest of the options are giving almost all of the information required to prove the similar triangles.