Answer:
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
