Subjects geometry

Reflection X Axis E34D2E

Step-by-step solutions with LaTeX - clean, fast, and student-friendly.

Use the AI math solver

1. **State the problem:** We need to find the coordinates of the vertices P, Q, R, and S after reflecting them over the x-axis. 2. **Recall the reflection rule:** Reflecting a point $(x, y)$ over the x-axis changes its coordinates to $(x, -y)$. 3. **Original coordinates:** - $P(-8, -4)$ - $Q(-8, -2)$ - $R(-2, -2)$ - $S(-2, -4)$ 4. **Apply the reflection:** - $P' = (-8, -(-4)) = (-8, 4)$ - $Q' = (-8, -(-2)) = (-8, 2)$ - $R' = (-2, -(-2)) = (-2, 2)$ - $S' = (-2, -(-4)) = (-2, 4)$ 5. **Final answer:** - $P'(-8, 4)$ - $Q'(-8, 2)$ - $R'(-2, 2)$ - $S'(-2, 4)$