Question

point p was rotated by 135° (the center of rotation is indicated). which point is the image of p? choose 1 answer: a a b b c c d d

Explanation:

Step1: Recall Rotation Properties

Rotation preserves distance from the center, so the image of \( P \) should be equidistant from the center as \( P \). Also, a \( 135^\circ \) rotation (counterclockwise, typical unless stated) from \( P \)'s position.

Step2: Analyze Positions

• Point \( P \) is left of the center. Rotating \( 135^\circ \) counterclockwise (or clockwise, but \( 135^\circ \) is \( \frac{3}{8} \) of a full rotation) should place the image in a position matching one of the points.
• Check distances: \( P \), \( B \), \( A \), \( C \), \( D \) – \( C \) is at a \( 135^\circ \) angle (visually, from center, \( P \) to center to \( C \) makes \( 135^\circ \)) and same distance.

Answer:

C. \( C \)