Question

Point A, coordinates (4,3), is reflected onto its image Point A', coordinates (4,-5). Determine the line of reflection.

y = 4
y = 3
y = 0
y = -1

Answer 1

y = -1

Reason: The midpoint of A(4,3) and A'(4,-5) is ((4+4)/2, (3+(-5))/2) = (4, -1). The segment AA' is vertical, so its perpendicular bisector (the line of reflection) is the horizontal line y = -1.