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

Reflection across the y-axis maps (x, y) → (−x, y).

Apply to each endpoint:
- (1, 1) → (−1, 1)
- (4, 4) → (−4, 4)

These reflected points lie on y = −x and the segment length is preserved (both segments have length 3√2); the midpoint (2.5, 2.5) reflects to (−2.5, 2.5).