Intro to Dilations

Intro to Dilations

by David Miller

Multiple Choice

A dilation is which of the following: 

• only an enlargement
• only a reduction
• either an enlargement or a reduction
• neither an enlargement nor a reduction

Multiple Choice

A dilation creates a similar figure, NOT a congruent figure.

• True

• False

Multiple Choice

 A dilation can produce a larger figure also known as a ______

• reduction
• enlargement
• scale factor
• center of dilation

Multiple Choice

A scale factor of 1/2 reduces a figure.

• True
• False

Multiple Choice

In a dilation what mathematical operation is used with the scale factor?

• addition 
• subtraction 
• multiplication 
• division 

Multiple Choice

A dilation can produce a smaller figure also known as a ______

• reduction
• enlargement
• scale factor
• center of dilation

Multiple Choice

The ONLY time a dilation would produce a congruent figure is if the the scale factor equaled _____.

• 1/2

• 2

• 10

• 1

Multiple Choice

Is the new image an example of an enlargement, reduction, or none of the above?

• Enlargement

• Reduction

• None of the above

Multiple Choice

Does the image show a Dilation? If yes, did the image enlarge, reduce or none of the above?

• Yes, enlarge
• Yes, reduce
• No

Multiple Choice

What is the formula for scale factor?

• $$\frac{new}{old}$$

• $$\frac{old}{new}$$

Multiple Choice

What scale factor was used to produce the image?

• 1
• 7
• 18
• 49

Multiple Choice

What scale factor was used to produce the image?

• 2
• 3
• 1/3
• 1/2

Multiple Choice

What scale factor was used to produce the image?

• 2
• -2
• ¹/₂
• 1

Multiple Choice

A dilation always produces a similar figure. Similar figures have the same ______ but different ______.

• measure; shapes

• sizes; shapes

• value; measures

• shape; sizes

Multiple Choice

An image is dilated at a scale factor of 1.5. This means the dilation is an enlargement and the dilated image will be bigger.

• True

• False

Multiple Choice

What is the scale factor from ΔDEF to ΔABC?

• 1/2
• 7/3
• 2
• 10/3

​proportion - When two ratios are equivalent and show the same simplified value

Multiple Choice

What is a proportion?

• When two ratios can be simplified
• When two ratios are equivalent and show the same value
• When two ratios have the exact same numbers
• When two ratios can be multiplied by 2

Multiple Choice

Solve the proportion:

• c = 4

• c = 8

• c = 14

• c = 10

Multiple Choice

Solve the proportion.

• q=2
• q=9
• q=4.5
• q=6

Multiple Choice

What side corresponds with AB? 

• BC
• FE
• DE
• FD

Multiple Choice

Complete each proportion.
AB / BM  =  ? / CD

• BC
• AC
• MD
• MC

Multiple Choice

Complete each proportion.
CB / DM  =  AC / ?

• BM
• MA
• BC
• AD

Multiple Choice

Solve for w

• 10/3
• 50/9
• 46/9
• 22/3

Multiple Choice

Solve for k

• 165
• 17
• 1/17
• 1/165

Multiple Choice

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they have the same shape and the same angles
• No, the ratio of corresponding sides are not equal 
• Yes, same shape
• No, different sizes