Question

What is the new point when you rotate a geometric figure with point (5, 8) 270 degrees counterclockwise about the origin? A. (-8, -5) B. (8, -5) C. (8, 5) D. (-5, 8)

Answer 1

The new point after rotating (5, 8) 270 degrees counterclockwise about the origin is (-8, 5).

Step-by-step explanation:

To rotate a point 270 degrees counterclockwise about the origin, you can use the rotation matrix formula:

x' = x*cos(theta) - y*sin(theta)

y' = x*sin(theta) + y*cos(theta)

Plugging in the values for the point (5, 8) and rotating it 270 degrees counterclockwise, you get:

x' = 5*cos(270) - 8*sin(270) = -8

y' = 5*sin(270) + 8*cos(270) = 5

Therefore, the new point after rotation is (-8, 5).