Rotate the point (−4, −6) on a geometric figure 180 degrees counterclockwise. What is the new point?
The new point is (4, 6).
To rotate a point 180 degrees counterclockwise, we can follow these steps:
1. Find the opposite of the x-coordinate and the y-coordinate of the original point. For the point (-4, -6), the opposite of -4 is 4, and the opposite of -6 is 6.
2. The new point will have the same distance from the origin (0, 0) but will be on the opposite side. Therefore, the new point will have the opposite sign for both the x-coordinate and the y-coordinate.
3. So, the new point will be (4, 6).
Therefore, after rotating the point (-4, -6) 180 degrees counterclockwise, the new point will be (4, 6).
To rotate a point counterclockwise by 180 degrees, you can use the following steps:
1. Identify the coordinates of the point you want to rotate. In this case, the point is (-4, -6).
2. Multiply the x-coordinate of the point by -1 to find the new x-coordinate. In this case, -4 * -1 = 4.
3. Multiply the y-coordinate of the point by -1 to find the new y-coordinate. In this case, -6 * -1 = 6.
Therefore, the new point after rotating (−4, −6) by 180 degrees counterclockwise is (4, 6).