Question

Use the graph to answer the question.

Which series of transformations correctly maps parallelogram ABCD to parallelogram A′B′C′D′?


a 90∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis

a 180∘ counterclockwise rotation about the origin, followed by a reflection in the y-axis

a 90∘ counterclockwise rotation about the origin, followed by a reflection in the x- axis

a 180∘ counterclockwise rotation about the origin, followed by a reflection in the x-axis

Answer 1

a 90∘

counterclockwise rotation about the origin, followed by a reflection in the x-

axis

Explanation:

Each quadrant is 90∘.

A counterclockwise rotation of ABCD would land it in the quadrant above A′B′C′D′.

ABCD now needs to be reflected over the x axis, so that it maps onto (matches up) with A′B′C′D′

Answer 2

a 180 counterclockwise rotation about the origin followed by a reflection of the y-axis