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.

Let's reflect the given endpoints of the line segment:

1. The first endpoint is \( (1, 1) \):
- Reflecting across the \( y \)-axis: \( (-1, 1) \)

2. The second endpoint is \( (4, 4) \):
- Reflecting across the \( y \)-axis: \( (-4, 4) \)

Thus, the reflected endpoints of the line segment are \( (-1, 1) \) and \( (-4, 4) \).