Question

Using the Law of Detachment, find the conclusion for the following: If two triangles are similar, then their corresponding angles are congruent.

Triangle ABC and Triangle XYZ are similar.
Question 8 options:
AB≅XY
ABC≅XYZ
The statements are not valid.

Answer 1

∠ABC ≅ ∠XYZ

Explanation:

Given: ΔABC is similar to ΔXYZ.

If two triangles are similar, then

1. the corresponding angles are congruent

2. the corresponding sides are proportional

From the options given,

AB ≅ XY is not applicable for similar triangles. Hence the option is wrong.

∠ABC ≅ ∠XYZ since ΔABC ≅ ΔXYZ

Hence the answer is ∠ABC ≅ ∠XYZ