Scale Factor and Dimensional Analysis

If you were asked to draw a scaled copy with a scale factor of 1, the copy will be...

• Larger

• Smaller

• The Same Size

Answer explanation

Scale factor of 1 means you multiply all side lengths by 1. Anything multiplied by 1 is itself, so the lengths are not changing. This means the shape is going to be the same size.

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

• an enlargement

• a reduction

• a scale factor

• bigger

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

• reduction

• enlargement

• scale

• not proportional

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

What is the scale factor from ABCD to MNOP?

• 2/3

• 3/2

• 2

• 3

What is the scale factor from MNOP to ABCD?

• 2/3

• 1/2

• 3/2

• 2

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 82.5 miles

• 41.25 miles

Robbie made a scale drawing of a neighborhood park. A soccer field in the park is 14 inches long in the drawing. The actual field is 98 yards long. What is the scale of the drawing?1 inch = _ yards

• 1372

• 5

• 14

• 7

A scale drawing that measures 8 units wide and an original that measures 4 units wide has a scale factor of...

• 2:1

• 8:1

• bigger

• 1:2

If the original is 12 units and the scale factor is 1/4 what is the size of the scale drawing?

• 300

• 4.8

• 3

• 4