Question

what are the coordinates of r? rectangle pqrs is rotated 90° clockwise about the origin. r(-4,1) r(1,4) r(4,-1) r(-1,-4)

Explanation:

Step1: Determine the original coordinates of R

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

Step2: Apply the rotation rule

When a point \( (x,y) \) is rotated \( 90^{\circ} \) clockwise about the origin, the new coordinates \( (x',y') \) are given by the rule \( (x',y')=(y, -x) \).
For point \( R(-4,1) \), substituting \( x = - 4 \) and \( y = 1 \) into the rule:
\( x'=1 \) and \( y'=-(-4)=4 \)

Answer:

\( R'(1,4) \)