Question

the triangles shown are similar.
move options to the lines to describe a sequence of transformations that can be performed on $\triangle lmn$ to prove it is similar to $\triangle pqr$.
first, rotate $\triangle lmn$ __ clockwise about point __.
then, dilate the image with the center of dilation at point __ and a scale factor __.
$90^\circ$ $180^\circ$ $270^\circ$
$l$ $m$ $n$
between 0 and 1 greater than 1

Explanation:

Step1: Identify rotation angle and center

We can see that rotating $\triangle LMN$ 90° clockwise about point $L$ (which coincides with point $P$) will align the orientation of $\triangle LMN$ with $\triangle PQR$.

Step2: Identify dilation center and scale factor

The center of dilation is point $P$ (same as point $L$). $\triangle PQR$ is smaller than $\triangle LMN$, so the scale factor is between 0 and 1.

Answer:

First, rotate $\triangle LMN$ $\boldsymbol{90^\circ}$ clockwise about point $\boldsymbol{L}$.
Then, dilate the image with the center of dilation at point $\boldsymbol{L}$ and a scale factor $\boldsymbol{between\ 0\ and\ 1}$.