Question

3. Rotate A RSQ with vertices R(4, -1), S5, 3), and Q(3, 1) by 270 clockwise about the origin.

What are the coordinates of the vertices of the image?

Answer 1

To rotate a point (x, y) by 270 degrees clockwise about the origin, we can use the following formula:

(x', y') = (y, -x)

where (x', y') are the coordinates of the rotated point.

Using this formula for each of the vertices of RSQ, we get:

R' = (yR, -xR) = (-1, -4)

S' = (yS, -xS) = (-3, -5)

Q' = (yQ, -xQ) = (-1, -3)

Therefore, the coordinates of the vertices of the image RSQ after rotating 270 degrees clockwise about the origin are R'(-1, -4), S'(-3, -5), and Q'(-1, -3).