Question

Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).

On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).

Answer 1

Rotation by -90° (clockwise) maps (x,y) -> (y, -x).

Apply to each vertex:
- W(-4,-1) -> W' = (-1, 4)
- Y(-2,-1) -> Y' = (-1, 2)
- X(-4,-4) -> X' = (-4, 4)

So the correct picture is the one with Y'(-1,2), W'(-1,4), X'(-4,4) (the third option).