Rotations Warmup

If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, 5)

• (-5, 3)

• (-3, 3)

Find the image of triangle ABC after rotating 90 degrees counterclockwise about the origin. What are the coordinates of C' ?

• (3, -4)

• (-4, -3)

• (4, 3)

• (-3, 4)

What are the coordinates of a 180 degree counter clockwise rotation of (-4, 1).

• (-4, 1)

• (-1, -4)

• (1, -4)

• (4, -1)

A triangle has vertices at L(2, 2), M(4, 4), and N(1, 6). The triangle is transformed 180 degree counterclockwise.

Which statements are true regarding the transformation? Select three options.

• The rule for the transformation is (x, y) → (–x, –y).

• The coordinates of L' are (–2,–2).

• The coordinates of M' are (–4,4).

• The coordinates of N' are (6,–1).

• The coordinates of N' are (–1,–6).

Triangle ABC was transformed using the rule (x, y) → (–y, x). The vertices of the triangles are shown.

A (–1, 1)B (1, 1)C (1, 4) A' (–1, –1)B' (–1, 1)C' (–4, 1)

Which best describes the transformation?

• The transformation was a 90° rotation about the origin

• The transformation was a 180° rotation about the origin.

• The transformation was a 270° rotation about the origin.

• The transformation was a 360° rotation about the origin.

Triangle RST was transformed using the rule (x, y) → (–x, –y). The vertices of the triangles are shown.

R (1, 1)S (3, 1)T (1, 6) R' (–1, –1)S' (–3, –1)T' (–1, –6)

Which best describes the transformation? 

• The transformation was a 90° rotation about the origin.

• The transformation was a 180° rotation about the origin.

• The transformation was a 270° rotation about the origin.

• The transformation was a 360° rotation about the origin.