Question

Use the image to answer the question.

Two concentric isosceles triangles are drawn from the common point upper A. The smaller triangle has equal side lengths of 3 units and a base of 5 units. The larger triangle has equal side lengths of 6 units and a base of 10 units.

Which statement correctly explains the criterion that proves the triangles are similar?

Statement #1: AA because all three angles are similar since the two angles at angle A
are the same.

Statement #2: SSS because the two side lengths of AD
to AB
and DE
to BC
are proportional, meaning the other side length is also proportional.

Statement #3: SAS because the given side lengths AD
to AB
and DE
to BC
are proportional; additionally, angle B
is the same measure as angle D
when translated.

(1 point)

Answer 1

Statement #2.

All three corresponding side lengths are in the same ratio (3:6 = 5:10 = 1:2), so the SSS similarity criterion applies and the triangles are similar.