LMNP is rotated 90° clockwise around the origin then, the coordinates of N will be (4, -5).
How does rotation by 90 degrees changes the coordinates of a point if rotation is with respect to origin?
Let the point be having coordinates (x,y).
If the point is in the first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
On origin
No effect as we assumed rotation is being with respect to the origin.
LMNP is rotated 90° clockwise around the origin
In the given figure when we rotate it 90 degrees clockwise so the value as the rule
By Putting the value in x = 5 and y = 4
then, the coordinates of N will be (4, -5).
Learn more about the rotation of a point with respect to origin here:
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