Scale Factor

Scale Factor

Multiple Choice

Dilation is a transformation that changes the size and shape.

• True

• False

Multiple Choice

A scale factor is found by dividing...

• image / preimage

• preimage/ image

Multiple Choice

Another way of thinking of "image" is this would be the ____ of a dilation

• start

• end

Multiple Choice

Another way of thinking of "preimage" is this would be the ____ of a dilation.

• start

• end

Multiple Choice

When setting up a proportion to solve using scale factor that is NOT a fraction, ALWAYS set the scale factor equal to...

• start / end

• end/ start

Multiple Choice

The scale factor used to enlarge a photo is 1.75. If the starting photo is 4 in wide, what is the width of the enlarged photo? Pick the correct set up:

• $1.75\ =\ \frac{4}{x}$

• 1.75 = $\frac{x}{4}$

Multiple Choice

When using dilation to solve for AREA, the scale factor must be...

• a fraction

• cubed (to the third power)

• squared (to the second power)

• square rooted

Multiple Choice

The scale factor used to draw a sketch of a swimming pool is 0.5. If the area of the pool is 15 feet squared, what is the area of the sketch? Choose the proper set up:

• 0.5 = $\frac{15}{x}$  

• 0.5 =  $\frac{x}{15}$  

•  $o.5^2$  =  $\frac{x}{15}$  

•  $0.5^2\ =\ \frac{15}{x}$  

Multiple Choice

When using dilation to solve for VOLUME, the scale factor must be...

• a fraction

• cubed (to the third power)

• squared (to the second power)

• square roooted

Multiple Choice

If the scale factor is a fraction, make sure the larger number is set equal to the...

• smaller object

• larger object

• ending object

• starting object

Multiple Choice

The scale factor of an architect's model of a room is 1 to 8. The area of the actual room is 432 ft². What is the area of the model? The set up would be...

• $\frac{1^2}{8^2}=\frac{actual}{model}$

• $\frac{1^2}{8^2}=\frac{model}{actual}$

• $\frac{1^2}{8^2}=\frac{model^2}{actual^2}$

Multiple Choice

The scale factor of the blueprint of a driveway to the actual driveway is 1 to 30. The area of the driveway on the blueprint is 0.6 in². What is the area of the actual driveway? First, the scale factor would be...

• 1/30

• 1/900

• 1/60

• 2/60

Multiple Choice

The scale factor of the blueprint of a driveway to the actual driveway is 1 to 30. The area of the driveway on the blueprint is 0.6 in². What is the area of the actual driveway? The scale factor (squared) 1/900 would be set equal to...

• actual / blueprint

• blueprint/ actual

Multiple Choice

To solve the proportion

 $\frac{1}{900}=\frac{0.6}{actual}$  

• Cross multiply  0.6 x 900

• Divide 900 by 0.6

• Divide 0.6 by 900

Multiple Choice

The scale factor of the model of a truck to the actual truck is 1 to 15. If the model truck can carry 1,133 ft³ of dirt, how much dirt can the model truck carry? First,

• the scale factor is 1/15

• the scale factor should be squared, because this is area

• the scale factor should be cubed, because this is volume

Multiple Choice

The scale factor of the model of a truck to the actual truck is 1 to 15. If the model truck can carry 1,133 ft³ of dirt, how much can the model truck carry? What is the set up?

• $\frac{1^3}{15^3}=\frac{model}{actual}$

• $\frac{1}{15}=\ \frac{model}{actual}$

• $\frac{1^3}{15^3}=\frac{actual}{model}$

• $\frac{1^2}{15^2}=\frac{model}{actual}$

Multiple Choice

 $\frac{1^3}{15^3}=\frac{x}{1,133}$  The next step would be...

• x= 3375/1,133

• x = 1,133 (3375)

• 3375x = 1133

Multiple Choice

 $\frac{1^3}{15^3}=\frac{x}{1,133}$  The final step to solve would be...

• x = 3,375/1,133

• x = 3,375 (1,133)

• x = 1,133/3,375