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 for a \(90^{\circ}\) clockwise rotation about the origin

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

Answer:

\(R'(1,4)\)