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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

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 class=

Respuesta :

The answer should be C) Similar - SAS

Answer:

(C) Similar by SAS

Step-by-step 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

[tex]\frac{SM}{DL}=\frac{27}{9}=3=\frac{15}{5}=\frac{MA}{LE}[/tex]

∠M=∠L=31°

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

Hence, option C is correct.

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