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Question
determine if triangle mno and triangle pqr are or are not similar, and, if they are, state how you know. (note that figures are not necessarily drawn to scale.) answer attempt 1 out of 2 the triangles similar.
Step1: Calculate side - length ratios
Find the ratios of corresponding sides. $\frac{PQ}{MN}=\frac{36}{9} = 4$, $\frac{QR}{NO}=\frac{32}{8}=4$, $\frac{PR}{MO}=\frac{24}{6}=4$.
Step2: Check similarity condition
Since $\frac{PQ}{MN}=\frac{QR}{NO}=\frac{PR}{MO} = 4$, by the Side - Side - Side (SSS) similarity criterion, the two triangles are similar.
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