Graph the image of rectangle DEFG after a rotation 270° counterclockwise around the origin

Please find attached the graph of the image of the rectangle DEFG after 270° rotation counterclockwise to give the rectangle D'(8, -7), E'(8, -10), F'(9, -10), G'(9, -7) created with Microsoft Word

Step-by-step explanation:

The coordinates of the vertices of the rectangle DEFG are;

D(7, 8), E(10, 8), F(10, 9), G(7, 9)

A rotation of 270° counterclockwise about the origin gives;

Point of preimage = (x, y), point of image after the rotation = (y, -x)

The preimage point D(7, 8) has the image point as D'(8, -7) after the 270° CCW rotation

Similarly, after the 270°CCW rotation, we have;

The preimage point E(10, 8) has an image at E'(8, -10)

The preimage point F(10, 9) has an image at F'(9, -10)

The preimage point G(7, 9) has an image at G'(9, -7)

The graph of the image of the rectangle DEFG after 270° rotation counterclockwise is created using Microsoft Word and included here in the exercise

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