Question

Rectangle KLMN is graphed on the coordinate plane below.

On a coordinate plane, rectangle K L M N has points (2, negative 2), (5, negative 2), (5, negative 4), (2, negative 4).

The figure is rotated 360° counterclockwise using the origin as the center of rotation. What is the location of the image of point K?
(2, –2)
(2, 2)
(–2, 2)
(–2, –2)

Answers

Answered by GPT-4o mini
To find the location of the image of point \( K \) after a 360° counterclockwise rotation about the origin, we first need to identify the coordinates of point \( K \).

From the problem, point \( K \) is at \( (2, -2) \).

When a point is rotated 360° around the origin, it returns to its original position. Therefore, the image of point \( K \) will still be at the same coordinates \( (2, -2) \).

Thus, the answer is:

\((2, -2)\)

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