Rotations

Rotate the point (-3,-4) around the origin 180 degrees. State the image of the point.

• (-4,-3)

• (-4,3)

• (4,-3)

• (3,4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Answer explanation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Point A (-3, 5) is rotated 270 counterclockwise degrees about the origin. What the coordinates of its image?

• (5, 3)

• (-5, -3)

• (3, -5)

• (-5, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Answer explanation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What would be the location of A' after a 90 degree counterclockwise rotation of point (A) ?

Hint: Look for point A and apply the rule (x, y) → (–y, x)

• (-1, 2)

• (2, -1)

• (-2, -1)

• (-1, -2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• (-4, 1)

• (-1, -4)

• (1, -4)

• (4, -1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotate the point (-5,8) around the origin 270 degrees counterclockwise. State the image of the point.

• (-8,5)

• (8,-5)

• (8,5)

• (5,-8)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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).

Answer explanation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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.

Tags

CCSS.HSG.CO.B.6

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.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5