In this problem, you're asked to rotate the figure 90° clockwise and then analyze the two statements:

Step-by-Step Solution:

1. Identifying Initial Coordinates:

   • Point $P$ is at (-7, 0).
   • Point $Q$ is at (0, 0).
   • Point $R$ is at (0, -4).

2. Applying a 90° Clockwise Rotation:

   • When rotating a point $(x, y)$ 90° clockwise around the origin, the new coordinates become $(y, -x)$.

   Let's apply this transformation to each point:

   • Point $P(-7, 0)$ becomes $P'(0, 7)$.
   • Point $Q(0, 0)$ stays $Q'(0, 0)$.
   • Point $R(0, -4)$ becomes $R'(4, 0)$.

3. New Figure: After rotating the figure, the new positions of $P', Q', R'$ form a rotated shape on the graph.

Evaluating the Statements:

• Statement 1: "The orientation of the figure did not change."

  • False: A 90° rotation changes the orientation of the figure.

• Statement 2: "The corresponding angle measures in the pre-image and image are congruent."

  • True: A rotation preserves angles, so the corresponding angles are congruent.

Final Answers:

1. The orientation of the figure did change (False).
2. The corresponding angle measures are congruent (True).

Would you like more details or have any questions?

Here are 5 related questions for further practice:

1. What happens when you rotate a figure 180° clockwise?
2. How would you rotate a point counterclockwise by 90°?
3. Does rotation affect the size of the figure?
4. What transformation could you apply to achieve the same orientation without rotation?
5. How do reflections differ from rotations?

Tip: Always check how rotations change both the orientation and the coordinates of points systematically.