Question

question
what is the image of the point $(-5,-4)$ after a rotation of $180^{circ}$ counterclockwise about the origin?
answer
attempt 1 out of 2
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Explanation:

Step1: Recall the rotation rule

When a point $(x,y)$ is rotated $180^{\circ}$ counterclockwise about the origin, the new point is $(-x,-y)$.

Step2: Apply the rule to the given point

For the point $(-5,-4)$, here $x = - 5$ and $y=-4$.
After rotation, $-x=-(-5) = 5$ and $-y=-(-4)=4$.

Answer:

$(5,4)$