Questions: Write the coordinates of the vertices after a rotation 180° clockwise around the origin.

Write the coordinates of the vertices after a rotation 180° clockwise around the origin.
Transcript text: Write the coordinates of the vertices after a rotation $180^{\circ}$ clockwise around the origin.
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Solution

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Solution Steps

Step 1: Identify the original coordinates

The original coordinates of the vertices are: P(-6, -9) Q(-6, -1) R(-2, -1) S(-2, -9)

Step 2: Apply the 180° rotation rule

A 180° rotation around the origin, whether clockwise or counterclockwise, transforms a point (x, y) to (-x, -y).

Step 3: Calculate the new coordinates

Applying the rotation rule, the new coordinates are: P'(-(-6), -(-9)) = (6, 9) Q'(-(-6), -(-1)) = (6, 1) R'(-(-2), -(-1)) = (2, 1) S'(-(-2), -(-9)) = (2, 9)

Final Answer: The coordinates after rotation

P'(6, 9) Q'(6, 1) R'(2, 1) S'(2, 9)

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