Question

On a coordinate plane, 5 trapezoids are shown. Trapezoid L M N P is in quadrant 2 and has points (negative 5, 1), (negative 5, 4), (negative 3, 4), and (negative 3, 2). Trapezoid A is reflected across the x-axis. Trapezoid B is shifted 3 units to the right and 2 units down. Trapezoid C is reflected across the y-axis. Trapezoid D is in quadrant 4 and is rotated.
Trapezoid LMNP was reflected using the rule
ry–axis(x, y) → (–x, y). Which figure represents the image of the reflection?

figure

Answer 1

Reflecting (x,y) across the y-axis gives (−x,y). Applying to each vertex:

- (−5,1) → (5,1)
- (−5,4) → (5,4)
- (−3,4) → (3,4)
- (−3,2) → (3,2)

The image lies in quadrant I, so the figure that matches this is figure C.