Question

Point B is the image of point A when point A is rotated about the origin. What is known about point A and B?

5
A
B
-5
o
5 x
का
O Point B is the result of a 180° rotation.
O Point A and B have the same x-coordinate.

Answer 1

the fourth option (A and B are the same distance from the origin)

Explanation:

since B is the result of a rotation of A around the origin, they are both on the same circle (center point is the origin). so, they have both the same distance (the radius of the circle) from the center of the circle, which is the origin.

the third option is tempting, as the rotation was 90 degrees, but it was clockwise !