The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)
Explanation:
The first thing we do is to write the vertices of the original shape:
A = (-2, 2)
B = (2, 5)
C = (6, 3)
D = (4, -3)
A rotation of (x, y) 180° clockwise about the origin = (-x, -y)
We take the negative of the x and y coordinates of the original shape
180° clockwise about the origin becomes:
A' = (-(-2), -2) = (2, -2)
B' = (-2, -5)
C' = (-6, -3)
D' = (-4, -(-3)) = (-4, 3)
The coordinates of each of the vertices after the figure is rotated 180° clockwise about the origin: A' = (2, -2), B' = (-2, -5), C' = (-6, -3), D' = (-4, 3)
