Question

Select the postulate or theorem that you can use to conclude that the triangles are similar.

SAS Similarity Theorem

SSS Similarity Theorem

AA Similarity Postulate

Answer 1

You can use AA since the parallel lines make corresponding angles congruent.

Answer 2

AA Similarity Postulate

Explanation:

we know that

If DE is parallel to BC

then

`m<ADE=m<ABC` ------> by corresponding angles

`m<AED=m<ACB` ------> by corresponding angles

therefore

Triangles ABC and ADE are similar by AA Similarity Postulate (the three internal angles are congruent)