What are the coordinates of quadrilateral STUV after a 180° rotation about the origin? What are the coordinates of quadrilateral STUV after a 270° rotation about the origin?

To determine the coordinates of quadrilateral STUV after rotations, we can apply the rotation rules directly.

1. 180° Rotation About the Origin:

– The rule for a 180° rotation is to take each point (x, y) and transform it to (-x, -y).

– If we assume the coordinates of points S, T, U, and V are (x1, y1), (x2, y2), (x3, y3), and (x4, y4) respectively, then:

– S’ = (-x1, -y1)

– T’ = (-x2, -y2)

– U’ = (-x3, -y3)

– V’ = (-x4, -y4)

2. 270° Rotation About the Origin:

– The rule for a 270° rotation is to take each point (x, y) and transform it to (y, -x).

– Using the same coordinates:

– S” = (y1, -x1)

– T” = (y2, -x2)

– U” = (y3, -x3)

– V” = (y4, -x4)

To complete this question, simply plug in the actual coordinates of points S, T, U, and V to find the rotated coordinates. Feel free to ask if you need