Question

A segment with endpoints X(-6,2) and Y(-1,-3) is rotated 90 degree about the orgin. What are the coordinates of X and Y?

Answer 1

Answer:lerrn more

Explanation:

There are 2 possibilities:

if F is rotated 90° about the origin in the clockwise (negative) direction, the image is the point F'(3, 0), as shown with the red line segments.

if F is rotated 90° about the origin in the counterclockwise (positive) direction, the image is the point F'(-3, 0), as shown with the green line segments.

both 1 and 2 are possible.

Remark: A rotation of point F, it the movement of F in a circle with center O and with radius OF.

Answer 2

The line segment has has an equation:
y = -x - 4

The line intersects the x-axis at x = -4
Rotating 90 degrees along the origin, the x-intercept would be y-intercept wit the negative sign.
The line segment passes through (0, 4)
The new coordinate of X is (2, 6) and the new coordinate of Y is (-3, 1)