Question

Triangle PQR was reflected over the y-axis. The vertices of triangle P' Q' R' after the reflection are P' (-4,3) Q' (2,2) R' (-2,-3). What are the coordinates of the pre-image of point R'?

A) (2, -3)
B) (-3, 2)
C) (3, -2)
D) (-2, 3)

Answer 1

The pre-image of point R' (-2, -3) after being reflected over the y-axis is A) (2, -3), as the reflection negates the x-coordinate while keeping the y-coordinate unchanged.

Step-by-step explanation:

When a point is reflected over the y-axis in coordinate geometry, the x-coordinate of the point is negated, while the y-coordinate remains the same. Therefore, the coordinates of the pre-image point, before being reflected to become R' (-2,-3), would have an x-coordinate that is the opposite of -2 and the same y-coordinate of -3. This means the pre-image point R would be (2, -3).

The correct answer is A) (2, -3).