Dilations Practice and Rotations

Dilations Practice and Rotations

We are going to practice graphing image dilations and go over the last transformation!

Dilations Practice

First, lets practice some graphing dilations like we did yesterday.

Multiple Choice

A dilation is which of the following:

• only an enlargement

• only a reduction

• Either an enlargement or a reduction

• Neither an enlargement or a reduction

Multiple Choice

Enlargement or reduction? Find the scale factor!

• It's an enlargement; the scale factor is 3.

• It's a reduction; the scale factor is 1/3.

• It's a reduction; the scale factor is 1/2.

• It's an enlargement; the scale factor is 2.

Multiple Choice

Triangle ABC will be dilated using the rule (x, y)→(2x, 2y). What will be the coordinates of C'?

• (12, -3)

• (12, -6)

• (3, -1.5)

• (8, -5)

Multiple Choice

Enlargement or reduction? Find the scale factor!

• It's a reduction; the scale factor is 2.

• It's an enlargement; the scale factor is 2.

• It's an enlargement; the scale factor is 1/2.

• It's a reduction; the scale factor is 1/2.

Multiple Choice

Dilate Point B by a scale factor of 1/2

• (1.5,-4)

• (-1.5,1)

• (-1,-1.5)

• (-2,-2)

Multiple Choice

The point (8, 12) was dilated to become point (2, 3). What was the scale factor?

• ½

• ¼

• 4

• 2

Multiple Choice

Choose the correct scale factor:

• 2

• 3

• 1/3

• 1/2

Now lets go over Rotations (write down the next 2 slides)

Rotations are when you turn an image on a coordinate plate. You can turn the image up to 4 times either clockwise (turning the shape to the right) or counterclockwise (turning the shape to the left). When you make a rotation, the shape will look EXACTLY the same, just sideways or upside down.

There are 4 types of turns

• 90 degrees (turn the shape once), 180 degrees (turn shape twice), 270 degrees(turn shape 3 times) and 360 degrees (turn shape 4 times), 360 degree turns get you back to the original shape.

• Now here is a video talking about rotations.

Lets do some rotation practice!

Multiple Choice

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

• reflection

• translation

• rotation

• dilation

Multiple Choice

How many degrees was the figure rotated?

• 90 degrees counterclockwise

• 180 degrees

• 270 counterclockwise

• 90 degrees clockwise

Multiple Choice

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

Multiple Choice

Identify the transformation from A to D.

• 90^o Clockwise Rotation

• 180^o Rotation

• 270^o Clockwise Rotation

• 360^o Rotation