Question

Leon drew ABC and DEF so that A D, B E, AB = 4, and DE = 8. Are ABC and DEF similar? If so, identify the similarity postulate or theorem that applies

Answer 1

Triangles ABC and DEF are similar as per the Side-Side-Side (SSS) Similarity Theorem because the lengths of their corresponding sides are in proportion with a ratio of 1:2.

Step-by-step explanation:

Yes, triangles ABC and DEF are similar because the lengths of their corresponding sides are in proportion. This follows the Side-Side-Side (SSS) Similarity Theorem, which states that if all pairs of corresponding sides in two triangles are proportional, the triangles are similar.

In this case, we know that AB=4 and DE=8, which simplifies to the ratio 1:2. This indicates that the sides of triangle ABC are half the length of the corresponding sides of triangle DEF. Hence, according to the SSS Similarity Criterion, triangles ABC and DEF are indeed similar.

Learn more about SSS Similarity