Question

A line segment has endpoints (1, 1)
(
1
,

1
)
and (4, 4)
(
4
,

4
)
. Demonstrating the properties of reflections across the y
𝑦
-axis, what are the reflected endpoints?

Answer 1

Reflection across the y-axis sends (x,y) → (−x,y). Applying this:

- (1,1) → (−1,1)
- (4,4) → (−4,4)

So the reflected segment has endpoints (−1,1) and (−4,4).