Step-by-step explanation:
To reflect a point over the x-axis, you simply change the sign of the y-coordinate while keeping the x-coordinate the same.
Let's reflect the given points over the x-axis:
1. Point (-2, -3)
After reflection over the x-axis, the new point will be (-2, 3) where the x-coordinate remains the same and the y-coordinate changes its sign.
2. Point (-1, 3)
After reflection over the x-axis, the new point will be (-1, -3) where the x-coordinate remains the same and the y-coordinate changes its sign.
3. Square ABCD with vertices A(2, 4), B(-2, 4), C(-2, 8), and D(2, 8)
- After reflecting over the x-axis, A (2, -4), B (-2, -4), C(-2, -8), and D(2, -8).
4. Parallelogram HUK with vertices H(-1, 3), U(4, 8), K(6, -8)
- After reflecting over the x-axis, H(-1, -3), U(4, -8), K(6, 8)
These are the new points after reflecting over the x-axis.
