A Geometry Question

Question

In the xy-plane, what will be the coordinates of the point (–6, –5) after a clockwise rotation of 90 degrees about the origin?

A. (−6,5)

B. (−5,6)

C. (6,5)

D. (5,-6)

Answer 1

Hi Kristine,

To find the coordinates of the point (-6, -5) after a 90-degree clockwise rotation about the origin in the xy-plane, we need to swap the x and y coordinates and negate the new x-coordinate.

Starting with the point (-6, -5):

New x-coordinate = -(-5) = 5 New y-coordinate = -(-6) = 6

So, after a 90-degree clockwise rotation about the origin, the coordinates of the point (-6, -5) become (-5, 6).

The correct answer is:

B. (-5, 6)

Please let me know if you would be interested in a free tutoring session to review this & more!

Thank you,

Benjamin M.

Answer 2

The rule for clockwise rotations is (x,y) -> (y,-x)

Applying your value (-6,-5) -> (-5,6) (B)