Rotations in a Coordinate Plane

Rotate $90\degree$ counterclockwise about the origin

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Triangle A is rotated 90° clockwise with the origin as the center of rotation to create a new figure. Which rule describes this transformation?

• (x,y)→(y, -x) 

• (x,y)→(-x,-y)

• (x,y)→(-y,x)

• (x,y)→(x,y)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise 

• 90 degrees clockwise

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CCSS.HSG.CO.B.6

• A

• B

• C

• D

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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)

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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?

• (3, 5)

• (-3, -5)

• (-5, 3)

• (5, 3)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotation Rules (clockwise):

90^o rotation: (x, y)→(y, -x)

What are the coordinates for A' after a 90^⁰ rotation clockwise?

• (1, 3)

• (3, 1)

• (3, -1)

• (1, -3)

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CCSS.8.G.A.3

CCSS.HSG.CO.A.5