Question

rectangle pqrs is rotated 90° clockwise about the origin. what are the coordinates of r?

Explanation:

Step1: Determine the original coordinates of point \( R \)

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

Step2: Apply the rotation rule for a \( 90^{\circ} \) clockwise rotation about the origin

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

Answer:

\( R'( - 1,4)\)