Question

If two triangles are similar, which pair of conditions must be true?

Their corresponding sides are congruent.
Their corresponding angles are congruent.
Their corresponding sides are proportional.
Their corresponding angles are not congruent.

Answer 1

their corresponding angles are congruent
their corresponding side are proportional

Answer 2

B) Their corresponding angles are congruent.

C) Their corresponding sides are proportional.

Explanation:

Here is the definition of similar triangles.

If the two triangles are similar, then their corresponding angles must be equal and the sides are in proportion.

For example:

ΔABC ≈ ΔDEF are similar, then

∠A ≅ ∠D

∠B ≅∠E

∠C ≅ ∠F

and

AB/DE = BC/EF = CA/FD = constant.

According to the above definition, the following statements are true.

B) Their corresponding angles are congruent.

C) Their corresponding sides are proportional.