Questions: Rotate the point (-4,-6) on a geometric figure 180 degrees counterclockwise. What is the new point? (1 point) (4,6) (-6,-4) (-4,6) (6,4)

Rotate the point (-4,-6) on a geometric figure 180 degrees counterclockwise. What is the new point? (1 point) (4,6) (-6,-4) (-4,6) (6,4)
Transcript text: Rotate the point $(-4,-6)$ on a geometric figure 180 degrees counterclockwise. What is the new point? (1 point) $(4,6)$ $(-6,-4)$ $(-4,6)$ $(6,4)$
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Solution

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Solution Steps

Step 1: Understand the rotation transformation

To rotate a point \( (x, y) \) 180 degrees counterclockwise, the transformation rule is: \[ (x, y) \rightarrow (-x, -y) \]

Step 2: Apply the transformation to the given point

The given point is \( (-4, -6) \). Applying the transformation: \[ (-4, -6) \rightarrow (4, 6) \]

Step 3: Verify the result

The new point after rotation is \( (4, 6) \), which matches one of the provided options.

Final Answer

\(\boxed{(4, 6)}\)

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