Question

1. 90° counterclockwise rotation

Explanation:

Step1: Recall rotation rule

For a 90 - degree counter - clockwise rotation about the origin, the transformation rule for a point $(x,y)$ is $(x,y)\to(-y,x)$.

Step2: Identify points

Let's assume the coordinates of points $J$, $K$, and $L$ from the graph. Suppose $J(x_1,y_1)$, $K(x_2,y_2)$, $L(x_3,y_3)$.

Step3: Apply rotation rule

For point $J(x_1,y_1)$, $J'\to(-y_1,x_1)$; for point $K(x_2,y_2)$, $K'\to(-y_2,x_2)$; for point $L(x_3,y_3)$, $L'\to(-y_3,x_3)$. Calculate the new coordinates based on the actual values of the original coordinates from the graph.

Since the original coordinates are not given, if we assume $J(3,4)$, $K(5,1)$, $L(1,1)$:
For $J(3,4)$: $J'=(-4,3)$
For $K(5,1)$: $K'=(-1,5)$
For $L(1,1)$: $L'=(-1,1)$

Answer:

The new coordinates of $J'$, $K'$, $L'$ are found by applying the 90 - degree counter - clockwise rotation rule $(x,y)\to(-y,x)$ to the original coordinates of $J$, $K$, $L$. If original $J(3,4)$, $K(5,1)$, $L(1,1)$ then $J'(-4,3)$, $K'(-1,5)$, $L'(-1,1)$ (actual values depend on the original coordinates read from the graph).