Question

Which shows the image of quadrilateral ABCD after the transformation R0, 90°?

On a coordinate plane, a rectangle has points A (negative 1, 0), B (0, negative 1), C (negative 2, negative 3), D (negative 3, negative 2).

On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (1, 0), C prime (3, negative 2), D prime (2, negative 3).
On a coordinate plane, a rectangle has points A prime (0, 1), B prime (0, negative 1), C prime (negative 3, 2), D prime (negative 2, 3).
On a coordinate plane, a rectangle has points A prime (0, negative 1), B prime (negative 1, 0), C prime (negative 3, negative 2), D prime (negative 2, negative 3).
On a coordinate plane, a rectangle has points A prime (1, 0), B prime (0, 1), C prime (2, 3), D prime (3, 2).

Answer 1

Rotation 90° about the origin: (x,y) -> (-y,x).

Apply to each point:
- A(-1,0) -> (0,-1)
- B(0,-1) -> (1,0)
- C(-2,-3) -> (3,-2)
- D(-3,-2) -> (2,-3)

So the correct image is A'(0,-1), B'(1,0), C'(3,-2), D'(2,-3) — the first choice.