Question

A square has vertices T(1, 2), U(4, 2), V(4, 5), W(1, 5). If the square is rotated clockwise 90 degrees around (0, 0), what are the coordinates of W?

Answer 1

To rotate a point 90 degrees clockwise around the origin (0,0), we need to swap the x-coordinate with the y-coordinate and negate the new x-coordinate.

Step-by-step explanation:

To rotate a point 90 degrees clockwise around the origin (0,0), we can use the following formula:

x' = y

y' = -x

Using this formula, we can find the new coordinates of point W (1,5):

x' = 5

y' = -1

Therefore, the coordinates of W after being rotated 90 degrees clockwise around the origin are (5, -1).