Question

Reflecting Figures
The coordinates of a triangle are P(1, 4), Q(3, 6), and R(5, 2). The triangle is reflected over a line and its image coordinates are P'(–1, 4), Q'(–3, 6), and R'(–5, 2).



Find the equation of the reflection line.


x = –1
y = –1
y = 0
x = 0

Answer 1

x = 0

Reason: Each point and its image have midpoints at x = 0 (P and P' midpoint (0,4); Q and Q' midpoint (0,6); R and R' midpoint (0,2)), so the reflection line is the y‑axis, x = 0.