Find the coordinates of the vertices of each figure after the given transformation.
7) rotation 180° about the origin
8) rotation 90° clockwise about the origin
9) rotation 90° clockwise about the origin
10) rotation 90° clockwise about the origin
11) rotation 90° clockwise about the origin
12) rotation 90° counterclockwise about the origin
To find the coordinates of the vertices after the specified rotations about the origin, you can follow these transformation rules:
1. Rotation 180° about the origin: The coordinates ((x, y)) become ((-x, -y)).
2. Rotation 90° clockwise about the origin: The coordinates ((x, y)) become ((y, -x)).
3. Rotation 90° counterclockwise about the origin: The coordinates ((x, y)) become ((-y, x)).
Given specific vertices of a figure (which you haven’t provided), you would apply the transformations as follows for any vertex ((x, y)):
– For rotation 180°: Change to ((-x, -y)).
– For 90° clockwise: Change to ((y, -x)).
– For 90° counterclockwise: Change to ((-y, x)).
If you provide specific vertices, I can walk you through the calculations more precisely! Check the extended services page for additional detailed assistance if needed.