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QUESTION IMAGE

graph △abc and its image after a rotation 90° about the origin.

Question

graph △abc and its image after a rotation 90° about the origin.

Explanation:

Step1: Identify coordinates of ABC

From graph: A(-3,3), B(1,4), C(3,1)

Step2: Apply 90° rotation rule

Rule for 90° counterclockwise: (x,y)→(-y,x); clockwise: (x,y)→(y,-x). Assume counterclockwise (standard if not specified):
A'(-3,-3), B'(-4,1), C'(-1,3)

Step3: Plot image triangle

Graph A', B', C' and connect them.

Answer:

The image triangle after 90° counterclockwise rotation about the origin has vertices at (-3,-3), (-4,1), (-1,3). Plot these points to form the rotated triangle.
(Note: If clockwise rotation is intended, vertices are (3,-3), (4,1), (1,3).)