Question

rectangle j k l m is rotated 90° clockwise about the origin.
what are the coordinates of j?
j(-1, -4)
j(1, 4)
j(4, -1)
j(4, 1)

Explanation:

Step1: Find the original coordinates of J

From the graph, the coordinates of point \( J \) are \( (-4,1) \).

Step2: Apply the rotation rule

The rule for a \( 90^{\circ} \) clockwise rotation about the origin is \( (x,y)\to(y, -x) \).
Substitute \( x=-4 \) and \( y = 1 \) into the rule:
\( (-4,1)\to(1,4) \)

Answer:

\( J'(1,4) \)