Question

What is the equation for the line of reflection?

On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1).
x = 6
y = 6
y = x
y = 2

Answer 1

x = 6

Reason: Each original point and its image have midpoint with x-coordinate 6 (A & A' midpoint (6,2), B & B' (6,3), C & C' (6,1), D & D' (6,1)), so the reflection line is the vertical line x = 6.