Rotation in Geometry

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)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Rotation Rules (clockwise):

180^o rotation: (x, y)→(-x, -y)

What are the coordinates of C' after a rotation of 180° clockwise?

• (-3, -1)

• (3,1)

• (1,3)

• (-1, -3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the coordinates of B' after a 270° clockwise?

• (4, 4)

• (4, -4)

• (-3, 4)

• (-4, 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The dark letter F was rotated around the point ...

• (0, 0)

• (1, 0)

• (0, 5)

• (3, 5)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Match each rotation with the correct rule.

• 90^o counterclockwise rotation

• 90^o clockwise rotation

• 180^o rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

Which rule would result in a clockwise rotation of 90° about the origin?

• (x, y) → (y, -x)

• (x, y) → (4x, 4y)

• (x, y) → (x, -y)

• (x, y) → (x + 4, y + 4)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What are the three main things needed to know for rota​tions?​ ​ ​​ (a)   ​ ​ ​ ​ ​ (b)   ​ (c)  

• degrees

• center of rotation

• x axis

• y-axis

• Which direction

• how far to move

• clockwise/counterclockwis

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5