Rotations in Coordinate Plane Geometry

What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?

• H’(–6, –2)

• H’(6, –2)

• H’(–6, 2)

• H’(6, 2)

What is the mapping rule for a 180 degree rotation about the origin?

• (x, y) --> (–y, x)

• (x, y) --> (–y, –x)

• (x, y) --> (–x, –y)

• (x, y) --> (x, –y)

Rectangle PQRS is rotated 90° clockwise about the origin.

What are the coordinates of R’?

• R’(4,–1)

• R’(–4,1)

• R’(1,4)

• R’(–1,–4)

Rectangle PQRS is rotated 90° counterclockwise about the origin.

What are the coordinates of point Q’?

• Q’( –3, 5)

• Q’(3, –5)

• Q’(5, –3)

• Q’(–5, –3)

Triangle QRS is rotated 180° about the origin.

What are the coordinates of point S’?

• (2, 1)

• (1, –2)

• (–1, –2)

• (2, –1)

Triangle XYZ is rotated 90° counterclockwise about the origin.

What are the coordinates of point Y’?

• (4, –2)

• (1, 4)

• (–4, 1)

• (–1, –4)

Triangle XYZ is rotated 90° clockwise about the origin.

What are the coordinates of point X’?

• (1, 3)

• (3, –1)

• (3, 1)

• (–1, –3)

Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

• X’(1, 1), Y’(-4, 3), Z’(1, 5)

• X’(1, 1), Y’(–3, –4), Z’(–1, –5)

• X’(–1, 1), Y’(–3, –4), Z’(–5, 1)

• X’(–1, –1),Y’(4, –3), Z’(–1, –5)

Triangle XYZ has vertices X(–1, –3), Y(0, 0), and Z(1, –3). Malik rotated the triangle 90° clockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?

• X’(3, –1), Y’(0, 0), Z’(3, 1)

• X’(1, 3), Y’(0, 0), Z’(–1, 3)

• X’(1, –3),Y’(0, 0), Z’(–1, –3)

• X’(–3, 1), Y’(0, 0), Z’(–3, –1)

Iliana rotated trapezoid WXYZ 180° about the origin.

What is the correct set of image points for trapezoid W’X’Y’Z’?

• W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)

• W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)

• W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)

• W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)