Question

figure p is the result of a transformation on figure o. which transformation would accomplish this? answer a translation 7 units to the right and 3 units down a rotation 90° clockwise about the origin a rotation 90° counterclockwise about the origin a translation 7 units to the left and 3 units up

Explanation:

Step1: Analyze translation

Translation moves figure without rotation. Figure \(P\) is rotated compared to \(O\), so translation options (A and D) are wrong.

Step2: Analyze rotation

For a point \((x,y)\) rotated \(90^{\circ}\) clockwise about the origin, the new coordinates are \((y, -x)\). For a \(90^{\circ}\) counter - clockwise rotation, new coordinates are \((-y,x)\). By observing the position of Figure \(P\) relative to \(O\), a \(90^{\circ}\) counter - clockwise rotation about the origin would map Figure \(O\) to Figure \(P\).

Answer:

A rotation \(90^{\circ}\) counterclockwise about the origin.