Question

Given point A (2, 4) on the triangle is quadrant I how would you describe the coordinates of the new point when the triangle is rotated 270° counterclockwise

Answer 1

[AI-generated answer — Bot GPT 3.5]

To rotate a point counterclockwise 270°, you can follow these steps:

1. Identify the center of rotation. Since no center is mentioned, assume the origin (0, 0) as the center of rotation.

2. Determine the change in the x-coordinate and y-coordinate of the point. To rotate counterclockwise by 270°, the change in the x-coordinate will be the negative of the original y-coordinate, and the change in the y-coordinate will be the original x-coordinate.

For a given point A at (2, 4), the change in x-coordinate would be -(4) = -4, and the change in y-coordinate would be 2.

3. Add the change in x-coordinate and y-coordinate to the original x-coordinate and y-coordinate, respectively, to obtain the new coordinates of the point.

The new x-coordinate will be 2 + (-4) = -2, and the new y-coordinate will be 4 + 2 = 6.

Therefore, after rotating the point A (2, 4) counterclockwise by 270°, the new coordinates will be (-2, 6).