Question

On a coordinate plane, point A is at (3, 3) and point B is at (negative 3, 3). Point B is the image of point A when A is rotated 90° counterclockwise around the origin. Point B must be the same from the origin as point A.

Answer 1

Point B must be at the same distance from the the origin as point A.

Explanation:

Coordinates of point A = (3, 3)

When point A is rotated 90° counterclockwise around the origin, coordinates of the new point B will be (-3, 3)

Distance from origin to point A =
`\sqrt{(3)^(2)+(3)^2}=3√(2)`

Similarly, distance of point B from the origin =
`\sqrt{(3)^(2)+(3)^2}=3√(2)`

Therefore, distances of both the points from the origin are same.

Point B must be at the same distance from the the origin as point A.