Question

IS triangle SAM ~ to triangle DEL? If so identify the similarity postulate or Theorem that applies

A: Similar -AA
B: Similar - SSS
C: Similar- SAS
D: cannot be determined

Answer 1

The answer should be C) Similar - SAS

Answer 2

(C) Similar by SAS

Explanation:

From the given figure, SM=27, DL=9, MA=15, LE=5 and ∠M=∠L=31°, we have to identify the similarity postulate that applies.Thus,

From the ΔASM and ΔDLE, we have

`(SM)/(DL)=(27)/(9)=3=(15)/(5)=(MA)/(LE)`

∠M=∠L=31°

Thus, by SAS similarity, ΔASM is similar to ΔDLE.

Hence, option C is correct.