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original point rotation about the origin 90° clockwise reflection acros…

Question

original point rotation about the origin 90° clockwise reflection across the x - axis translation 4 units to the right (9, 5) (5, - 9) 9, - 5 (-3, 3) (3, 3) - 3, - 3 (-2, -4) (-4, 2) - 2, 4 (x, y) (y, - x) (y, x)

Explanation:

Step1: Recall translation rule

For a translation 4 units to the right, we add 4 to the x - coordinate of a point.

Step2: Apply to (9, 5)

The new point is \((9 + 4,5)=(13,5)\).

Step3: Apply to (-3, 3)

The new point is \((-3 + 4,3)=(1,3)\).

Step4: Apply to (-2, -4)

The new point is \((-2+4,-4)=(2,-4)\).

Step5: Apply to (x, y)

The new point is \((x + 4,y)\).

Answer:

Original PointRotation About the Origin 90° ClockwiseReflection Across the X - AXISTranslation 4 Units to the Right
(-3, 3)(3, 3)(-3, -3)(1, 3)
(-2, -4)(-4, 2)(-2, 4)(2, -4)
(x, y)(y, -x)(x, -y)(x + 4,y)