Question

inding Reflections
On a coordinate plane, line segment A B goes from (negative 4, 3) to (negative 1, 1), segment D C goes from (1, 1) to (4, 3), segment F E goes from (3, 1) to (6, 3), segment H G goes from (negative 4, negative 3) to (negative 1, negative 1), segment I J goes from (negative 4, negative 5) to (negative 1, negative 3).

Which segment is a reflection of segment AB over the line x = 1?


Line segment C D
Line segment E F
Line segment G H
Line segment I J

Answer 1

Reflecting (x,y) across x = 1 gives (2−x, y).
A(−4,3) → (6,3) and B(−1,1) → (3,1), so the image is the segment from (3,1) to (6,3), which is EF.