Rotations About Origin

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A figure was transformed on a coordinate grid using the rule (x,y) -> (-x, -y). Which of the following describes this transformation?

• A reflection across the x-axis

• A reflection across the y-axis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Figure 3 can also be created by transforming figure 1 with a sequence of two transformations. Which statement describes a possible sequence of transformations that transforms figure 1 into figure 3?

• a rotation 180° clockwise about the origin, followed by a translation 2 units to the left

• a rotation 90° clockwise about the origin, followed by a reflection across the x-axis

• a rotation 180° clockwise about the origin, followed by a reflection across the y-axis

• a rotation 90° clockwise about the origin, followed by a translation 3 units to the right

Tags

CCSS.8.G.A.3

Which statement describes a possible sequence of transformations that transforms figure 1 into figure 2?

• a reflection across the x-axis, followed by a translation 2 units to the left

• a reflection across the x-axis, followed by a translation 3 units to the right

• a rotation 180° clockwise about the origin, followed by a translation 2 units to the left

• a rotation 180° clockwise about the origin, followed by a translation 3 units to the right

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A rectangle is plotted on the coordinate plane below. Which image shows a 90o clockwise rotation about the origin?

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Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the angle of rotation for this counterclockwise rotation about the origin?

• 90°

• 180°

• 270°

• 360°

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• (-5, 3)

• (3, -5)

• (5, -3)

• (-3, -5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

If you were to rotate ABCD 180°  about the origin, what would the coordinate of A' be?

• (-5, 5)

• (-3, -5)

• (-5, 3)

• (-3, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5