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Which triangle is ​△MNO​ similar to and why?






△MNO is similar to △GHK by ​ AA Similarity Postulate ​.

​△MNO​ is similar to △DEF by ​ ​ AA Similarity Postulate ​.

△MNO is similar to △PQR by ​ ​ AA Similarity Postulate ​.

​△MNO​ is not similar to any of the triangles given.

Which triangle is MNO similar to and why MNO is similar to GHK by AA Similarity Postulate MNO is similar to DEF by AA Similarity Postulate MNO is similar to PQR class=

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If we closely observe the triangle MNO and the Triangle GHK.

we find that

In Triangle MNO

[tex] <M=79, <O=22\\
\\
<N=180-79-22=79\\
\\
[/tex]

In Triangle GHK

[tex] <G=<H=79 [/tex]

As we know from the "AA" similarity postulates, the two triangles are similar if both the tingles have two corresponding angles equal.

Hence triangle MNO and the Triangle GHK are similar by AA similarity Postulates.

Answer:

△MNO is similar to △GHK by AA Similarity Postulate.

Step-by-step explanation:

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