Question

A line segment has endpoints (1, 1) and (4, 4) . Demonstrating the properties of reflections across the y -axis, what are the reflected endpoints?

Answer 1

To reflect a point across the y-axis, you change the sign of the x-coordinate while keeping the y-coordinate the same.

The original endpoints of the line segment are:
- Point A: (1, 1)
- Point B: (4, 4)

Now we reflect each point across the y-axis:

1. Reflecting Point A (1, 1):
- Change the x-coordinate from 1 to -1.
- The y-coordinate remains the same.
- Reflected Point A: (-1, 1)

2. Reflecting Point B (4, 4):
- Change the x-coordinate from 4 to -4.
- The y-coordinate remains the same.
- Reflected Point B: (-4, 4)

Therefore, the reflected endpoints of the line segment across the y-axis are:
- (-1, 1) and (-4, 4).