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.
Accepted Solution
A:
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.