Question

If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar. always

sometimes

never

Answer 1

If three sides are proportional their angles must be identical therefore they are always similar.

Answer 2

Answer: Always

Explanation:

• The SSS similarity postulate says that when two triangles have corresponding sides with equal ratios then the triangles are similar.

The given statement : If three corresponding sides of one triangle are proportional to three sides of another, then the triangles are similar.

It implies two triangles have corresponding sides with equal ratios .

Therefore by SSS similarity postulate, the triangles are always similar.