Question

the corresponding sides in the pre-image and image are congruent.
the reflection changed the orientation of the vertices.

1. rotate the figure 90° clockwise. then, mark the statements as true or false.

____ the orientation of the figure did not change.
____ the corresponding angle measures in the pre-image and image are congruent.

1. dilate the fi

then, mark the

Explanation:

Step1: Identify pre-image vertices

First, locate vertices of PQRO:
$P(-6, -2)$, $Q(-2, -2)$, $R(-2, -6)$, $O(-6, -6)$

Step2: Apply 90° clockwise rotation rule

The rule for 90° clockwise rotation about the origin is $(x, y) \to (y, -x)$.
Calculate each new vertex:

• $P(-6, -2) \to P'(-2, 6)$
• $Q(-2, -2) \to Q'(-2, 2)$
• $R(-2, -6) \to R'(-6, 2)$
• $O(-6, -6) \to O'(-6, 6)$

Step3: Evaluate orientation statement

Compare the order of vertices in pre-image (P→Q→R→O, left-to-right bottom rectangle) and image (P'→Q'→R'→O', right-to-top rectangle). The orientation (direction of vertices) is reversed.

Step4: Evaluate angle measure statement

Rotations are rigid transformations, which preserve angle measures and side lengths, so corresponding angles stay congruent.

Answer:

1. $\boldsymbol{\text{False}}$ (The orientation of the figure did not change.)
2. $\boldsymbol{\text{True}}$ (The corresponding angle measures in the pre-image and image are congruent.)