Rotations Around the Origin

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

What is this picture an example of? 

• An angle

• A cat vertex 

• Rotation 

• Dilation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is a transformation that turns a figure about a fixed point for a given angle?

• Point of Rotation 

• Vertex 

• Rotations

• Image 

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which figure can be transformed into figure L by a 90° rotation clockwise about the origin followed by a translation 2 units down?

• Figure J

• Figure M

• Figure N

• Figure P

Tags

CCSS.8.G.A.3

Which of the following describes the sequence of transformations shown? (From A to A' to A")

• Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

• Rotate 90 degrees clockwise around the origin and then translate down.

• Reflect across the x-axis and then reflect across the y-axis.

• Translate up and then rotate 90 degrees counterclockwise about the origin.

Tags

CCSS.8.G.A.3

Triangle A is rotated 90° counterclockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D

Tags

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)

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

The red triangle represents what type of rotation:

• 180° Clockwise

• 90° Counter Clockwise

• 90° Clockwise

• 270° Counter Clockwise

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o  clockwise Rotation

• 360^o Rotation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5