Rotate the point (-4, -6) on a geometric figure 90 degrees counterclockwise. What is the new point? (1 point)

A.(6, 4)
B.(6, -4)
C.(-6, -4)
D.(-6, 4)

To rotate a point 90 degrees counterclockwise, we can switch the x and y coordinates and negate the new x coordinate.

The original point is (-4, -6).

Switching the coordinates gives us (-6, -4).

Negating the x coordinate gives us (6, -4).

Therefore, the new point after rotating 90 degrees counterclockwise is B. (6, -4).

Rotate the point (9, 5) on a geometric figure 270 degrees clockwise. What is the new point? (1 point)

A.(-5, -9)
B.(5, 9)
C.(-5, 9)
D. (-9, -5)

To rotate a point 270 degrees clockwise, we can switch the x and y coordinates and negate the new y coordinate.

The original point is (9, 5).

Switching the coordinates gives us (5, 9).

Negating the y coordinate gives us (5, -9).

Therefore, the new point after rotating 270 degrees clockwise is (5, -9).

So, the correct answer is A.(-5, -9).