Question

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.

Answer 1

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

Explanation:

Answer 2

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

we find that

In Triangle MNO

`image`

In Triangle GHK

`<G=<H=79`

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.