Rotation About the Origin

A transformation that “turns” a figure about a fixed point at a given angle and a given direction.

• rotation

• translation

• reflection

• dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation from A to D.

• 90^o Clockwise Rotation about the origin

• 180^o Rotation about the origin

• 270^o  Clockwise Rotation about the origin

• 360^o Rotation about the origin

Tags

CCSS.HSG.CO.B.6

Identify the transformation from B to A.

• 90^o Counter Clockwise Rotation about the origin

• 180^o Rotation about the origin

• 270^o Counter clockwise Rotation about the origin

• 360^o Rotation about the origin

Tags

CCSS.8.G.A.3

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise 

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

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 coordinates of B' be?

• (0, 0)

• (-6, -5)

• (-1, 3)

• (-6, 2)

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

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

• 
• 
• 
• 

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