Question

Graph the image of rectangle A B C D after a rotation 270 degrees counterclockwise around the origin.

Answer 1

To graph the image of rectangle ABCD after a 270 degree counterclockwise rotation around the origin, plot the original vertices, rotate each vertex 270 degrees counterclockwise around the origin, plot the new vertices, and connect them to form the image of the rotated rectangle.

Step-by-step explanation:

To graph the image of rectangle ABCD after a rotation of 270 degrees counterclockwise around the origin, follow these steps:

1. Plot the vertices of the original rectangle A, B, C, and D.
2. Draw lines connecting the vertices to form the rectangle.
3. Rotate each vertex 270 degrees counterclockwise around the origin.
4. Plot the new vertices A', B', C', and D'.
5. Connect the new vertices to form the image of the rotated rectangle.

For example, if the original rectangle has vertices A(1, 1), B(1, 3), C(3, 3), and D(3, 1), the rotated rectangle would have vertices A'(-1, 1), B'(-3, 1), C'(-3, -1), and D'(-1, -1).