Question

Rotate the point (−4, −6) on a geometric figure 180 degrees counterclockwise. What is the new point?(1 point)

(6, 4)
(−4, 6)
(4, 6)
(−6, −4)

Answer 1

To rotate a point 180 degrees counterclockwise, you can use the rule that for a point (x, y), the new coordinates after the rotation will be (-x, -y).

Given the point (-4, -6):
- The x-coordinate is -4, and the y-coordinate is -6.
- Applying the rotation rule: the new coordinates will be (-(-4), -(-6)) = (4, 6).

So, the new point after rotating (−4, −6) by 180 degrees counterclockwise is (4, 6).

The answer is (4, 6).