Is ABC DEF? If so identify the similarity postulate or theorem that applies.
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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 °
[tex]\frac{AB}{DE} =\frac{9}{3}=\frac{3}{1}[/tex]
[tex]\frac{BC}{EF}=\frac{15}{5} =\frac{3}{1}[/tex]
Or,[tex]\frac{AB}{DE} =\frac{BC}{EF}[/tex]
Hence triangle ABC~ Triangle DEF by SAS similarity theorem.