Question

Determine which figure below has been rotated 270° clockwise about the origin.

A.
The graph has a figure with vertices A at (2, 3), B at (4, 7), C at (7, 8), and D at (9, 4). The other figure with vertices A prime at (-3, 2), B prime at (-7, 4), C prime at (-8, 7), and D prime at (-4, 9).

B.
The graph has a figure with vertices A at (2, 3), B at (4, 7), C at (7, 8), and D at (9, 4). The other figure with vertices A prime at (-2, 3), B prime at (-4, 7), C prime at (-7, 8), and D prime at (-9, 4).

C.
The graph has a figure with vertices A at (2, 3), B at (4, 7), C at (7, 8), and D at (9, 4). The other figure with vertices A prime at (3, -2), B prime at (7, -4), C prime at (8, -7), and D prime at (4, -9).

D.
The graph has a figure with vertices A at (2, 3), B at (4, 7), C at (7, 8), and D at (9, 4). The other figure with vertices A prime at (2, -3), B prime at (4, -7), C prime at (7, -8), and D prime at (9, -4).

Answer 1

270° clockwise = 90° counterclockwise, which maps (x,y) to (-y, x).

Apply to each vertex:
- A(2,3) → (-3,2)
- B(4,7) → (-7,4)
- C(7,8) → (-8,7)
- D(9,4) → (-4,9)

These match choice A.