Question

The point (4, 1) and (- 2, 4) are reflected in the line y = 3. Find the coordinates of their images.

• A. $(-4,-1),(2,-4)$
• B. $(-4,1),(-2,2)$
• C. $(4,5),(-2,-2)$
• D. $(4,5),(-2,1)$

Answer 1

The correct option is D $(4,5),(-2,1)$

Reflection of (4,1) in y=3 will be (4,5) as the x- coordinate will not change but the y coordinate shifts 4 units upwards such that y=3 acts as a mirror.
Reflection of (-2,4) in y=3 will be (-2,1) as the x- coordinate will not change but the y coordinate shifts 4 units downwards such that y=3 acts as a mirror.