Question

rotations
given the coordinates of the pre - image, drag the points to graph the image.
rotate 90° cc
about origin
p(5,0) q(2, - 9) r(-3, - 8)
p q r

Explanation:

Step1: Recall 90° CCW rotation rule

For a point \((x, y)\), rotating 90° counterclockwise about the origin gives \((-y, x)\).

Step2: Find \(P'\)

For \(P(5, 0)\), apply the rule: \(-y = 0\), \(x = 5\). So \(P'(0, 5)\).

Step3: Find \(Q'\)

For \(Q(2, -9)\), \(-y = -(-9)=9\), \(x = 2\). So \(Q'(9, 2)\).

Step4: Find \(R'\)

For \(R(-3, -8)\), \(-y = -(-8)=8\), \(x = -3\). So \(R'(8, -3)\).

Step5: Graph the points

Plot \(P'(0, 5)\), \(Q'(9, 2)\), \(R'(8, -3)\) on the coordinate grid.

Answer:

To graph the image after 90° counterclockwise rotation about the origin:

• \(P(5, 0)\) rotates to \(P'(0, 5)\)
• \(Q(2, -9)\) rotates to \(Q'(9, 2)\)
• \(R(-3, -8)\) rotates to \(R'(8, -3)\)

Plot these points (\(P'(0, 5)\), \(Q'(9, 2)\), \(R'(8, -3)\)) on the grid.