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QUESTION IMAGE

3. rotation point c 180° about the origin.

Question

  1. rotation point c 180° about the origin.

Explanation:

Step1: Identify point C coordinates

From the graph, point C has coordinates (-4, -2).

Step2: Apply 180 - degree rotation rule

The rule for rotating a point (x, y) 180 degrees about the origin is (x, y) → (-x, -y). For point C(-4, -2), -x = -(-4)=4 and -y=-(-2) = 2.

Answer:

The new coordinates of point C after a 180 - degree rotation about the origin are (4, 2).