Question

1. write a similarity statement for the similar triangles. (\triangle nmpsim\triangle)____ nrq rqn nqr qrn

Explanation:

Step1: Identify similar - triangle property

If a line is parallel to one side of a triangle and intersects the other two sides, it forms two similar triangles. Here, $MP\parallel QR$.

Step2: Match corresponding vertices

The vertices of $\triangle NMP$ and the larger triangle formed by the parallel - line relationship should be matched in order. The larger triangle with $\triangle NMP$ is $\triangle NQR$. The order of vertices for similar - triangle notation is important. The angle at $N$ in $\triangle NMP$ corresponds to the angle at $N$ in $\triangle NQR$, the angle at $M$ in $\triangle NMP$ corresponds to the angle at $Q$ in $\triangle NQR$, and the angle at $P$ in $\triangle NMP$ corresponds to the angle at $R$ in $\triangle NQR$.

Answer:

NQR