Question

Point T has coordinates (-7, -3). If it's reflected across the line x = 2, what will be the coordinates of its image?

(11, -3)
(-7, 7)
(7, -3)
(7, 3)

Answer 1

(11, -3)

Reflection across the vertical line x = 2 keeps y the same and maps x to x' = 2 + (2 - (-7)) = 4 - (-7) = 11, so the image is (11, -3).