Rotations and Dilations

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 270 counterclockwise 

• 90 degrees clockwise

Triangle ABC has vertices A(-4, 1), B(-2, 1), and C(-1, -2) on a coordinate grid. If ∆ABC is rotated 180° about the origin, what are the coordinates of A'B'C'?

• A'(1,4) B'(1,2) C'(-2,1)

• A'(4,-1) B'(2,-1) C'(1,2)

• A'(-1,-4) B'(-1,-2) C'(2,-1)

• A'(-4,1) B'(-2,1) C'(-1,-2)

An office supply store sells index cards in two different sizes. The large size is a dilation of the small size. Both sizes are shown. Find the scale factor of the dilation.

• 0.5

• 5

• 3

• ⅓

If the scale factor is greater than one, the new figure will be

• reduction

• enlargement

• scale

• not proportional

Describe the given rotation. Select ALL that apply.

• 90° counterclockwise

• 180° clockwise

• 90° clockwise

• 270° clockwise

• 270° counterclockwise

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

• reflection

• translation

• rotation

• dilation

How many degrees was the figure rotated?

• 90 degrees counterclockwise 

• 180 degrees

• 90 degrees clockwise

Identify the type of dilation for the scale factor k=1/2.

• Reduction

• Enlargement

• Isometry

• None of these

Identify the type of dilation given the scale factor k=5/4

• Reduction

• Enlargement

• Isometry

• None of these

Triangle C is rotated 180° clockwise with the origin as the center of rotation to create a new figure. Which triangle shows the new location?

• A

• B

• C

• D