Rotations About a Point Other Than the Origin

A turn is also called a ___________.

• Translation

• Reflection

• Rotation

• Transformation

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

This diagram shows what type of transformation?

• This is a counterclockwise reflection

• This is a counterclockwise rotation centered on the common point.

Tags

CCSS.8.G.A.3

The point (-4,1) is rotated 180 degrees counterclockwise using center (-3,0). What are the coordinates of the image?

• (-5,2)

• (-4,-1)

• (-2,-1)

• (4,-1)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What is the transformation from frame #2 to frame #3?

• translation down

• translation up

Tags

CCSS.HSG.CO.A.2

This figure shows a rotation.

• This is a rotation about point "C"

• This is definitely not a transformation

Tags

CCSS.8.G.A.3

This transformation shows what?

• This is a rotation about point "B"

• This is a rotation about point "D"

• This is a reflection of the figure to the right.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

This shows what?

• This is a rotation about point "C"

• This is a rotation about point "B"

• This is a rotation about point "A"

Tags

CCSS.HSG.CO.B.6

Here is a grid showing triangle ABC and two other triangles. You can use a rigid transformation to take triangle ABC to one of the other triangles. Which one? How?

• Triangle EBD - ABC is reflected on a line at point "B"

• Triangle CFG - Translate triangle ABC 7 units right so that "B" matches up with "F". Then rotate 90 degrees clockwise around "F".

• Triangle CFG - Rotate triangle ABC 90 degrees counterclockwise around point "C", then rotate 180 degrees around the midpoint of segment CG.

• Triangle EBD - Translate triangle ABC up two units.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Here are two line segments. Is it possible to rotate one line segment to the other? If so, find the center of such a rotation.

• No, is not possible to rotate because the only way to get one line to the other is by a translation up 5 units and then right two units.

Tags

CCSS.8.G.A.3

Points A',B' , and C' are the images of 180-degree rotations of A, B, and C, respectively, around point O. Name a segment whose length is the same as segment AO.

• CO

• BO

• A'O

• C'O

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5