Question

Is ABC DEF? If so identify the similarity postulate or theorem that applies.

Answer 1

Answer:

B:Similar :SAS

Step-by-step explanation:

The Angle-Side (SAS) Similarity Theorem states that  If an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar.

In the given triangles <B=<E= 40 °

$\frac{AB}{DE} =\frac{9}{3}=\frac{3}{1}$

$\frac{BC}{EF}=\frac{15}{5} =\frac{3}{1}$

Or,$\frac{AB}{DE} =\frac{BC}{EF}$

Hence triangle ABC~ Triangle DEF by SAS similarity theorem.

Answer 2

Answer: SAS (Apex)

Step-by-step explanation: