Question

A point at (−8, −9) is rotated 270° counterclockwise about the origin. What are the coordinates of the resulting image?

Answer 1

(-8, -9) is in the third quadrant.

If you know the Unit Circle, 270 degrees goes directly downwards.


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| 90 degrees
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------180 degrees------------------------------------------------------0 degrees--------
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| 270 degrees
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So rotating the point that same distance (or angle whatever) is technically just going up 18, since the distance from your y-value to the x-axis is 9.

(-8, 9)

Answer 2

(-9,8)

Explanation:

A point at (−8, −9) is rotated 270° counterclockwise about the origin.

Rotation about origin with 270° counterclockwise.

Coordinate change:

`(x,y)\rightarrow (y,-x)`

Therefore,

`(-8,-9)\rightarrow (-9,8)`

The resulting coordinate is (-9,8)

We can also see in attachment for rotation of coordinate.

Hence, The image of coordinate after rotation 270° counterclockwise about origin is (-9,8)