Question

Which sequence of transformations will change figure PQRS to figure P′Q′R′S′? A coordinate grid is labeled from negative 5 to 0 to 5 on both x- and y-axes at increments of 1. Figure PQRS has P at ordered pair negative 3, negative 2, Q at negative 2, negative 3, R at negative 3, negative 4, S at negative 4, negative 4. Figure P prime Q prime R prime S prime has P prime at ordered pair 2, 3, Q prime at 3, 2, R prime at 4, 3, S prime at 4, 4. Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 90 degrees followed by reflection about the y-axis Counterclockwise rotation about the origin by 180 degrees followed by reflection about the x-axis Counterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axis

Answer 1

The original figure is in Quadrant 3. The transformed figure is in quadrant 1.

A 90 degree counterclockwise rotation moves the original figure to quadrant 4, which is directly below quadrant 1. The figure is then reflected across the x axis to move it to quadrant 1.

The answer is:

Counterclockwise rotation about the origin by 90 degrees followed by reflection about the x-axis