Question

What are the coordinates after the points (2,3), (2,-7), and (7,-7) are rotated -270°?

Answer 1

To rotate the given points (-2,3), (2,-7), and (7,-7) by -270°, we need to apply a rotation matrix.

Step-by-step explanation:

To rotate the given points (-2,3), (2,-7), and (7,-7) by -270°, we need to apply a rotation matrix. The rotation matrix for counterclockwise rotation by an angle θ is given by:

R = cos(θ) -sin(θ)

sin(θ) cos(θ)

Using this matrix, we can calculate the new coordinates as follows:

(x', y') = R(x, y)

For the point (2,3), the new coordinates after rotating -270° would be (3, -2). For the point (2,-7), the new coordinates would be (-7, -2). And for the point (7,-7), the new coordinates would be (-7, 7).