What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin?(1 point)
1.(-8,-5)
2.(8,-5)
3.(8,5)
4.(-5,8)
To rotate a point (x,y) 270 degrees counterclockwise about the origin, the new point can be found by switching the x and y coordinates, and changing the sign of the new x coordinate.
In this case, the point (5,8) becomes (-8,5). Therefore, the new point is option 1. (-8,-5)
To rotate a point counterclockwise about the origin, we can use the following formula:
New Point = (-y, x)
In this case, the point is (5, 8). Using the formula, we can calculate the new point:
New Point = (-8, 5)
So the correct answer is option 3, (8, 5).