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Is △PMR similar to △SMN ? If so, which postulate or theorem proves these two triangles are similar?



​A. △PMR ​ ​is similar to ​ △SMN ​ ​ by the ​​​ ​ SSA Similarity Theorem ​.

​B. △PMR ​ ​is similar to ​ △SMN ​ ​by the ​​ ​ SAS Similarity Theorem ​.

​C. △PMR ​ ​is similar to ​ ​ ​ △SMN ​ ​by the​ ​ SSS Similarity Theorem ​​.

​D. △PMR ​ ​is not similar to △SMN ​​.

Is PMR similar to SMN If so which postulate or theorem proves these two triangles are similar A PMR is similar to SMN by the SSA Similarity Theorem B PMR is sim class=

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NewJack931
The correct answer on the K12 quiz is

B. △PMR ​ ​is similar to ​ △SMN ​ ​by the ​​ ​ SAS Similarity Theorem ​.
Riia

In triangles PMR and SMN, corresponding sides are in same proportion, that is

[tex] \frac{MS}{MP} = \frac{MN}{MR} [/tex]

And there is a one common angle in both triangles too, which is angle M .

And that angle is the including angle .

So the two triangles are similar by SAS .

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