Scale Factors and Scale Drawings

Fairview and Rockville are 104 miles from each other. How far apart would the cities be on a map that has a scale of 1 cm : 13 miles? Solve the proportion.

• 7 cm

• 1352 cm

• 8 cm

• 4 cm

Triangle F is the original drawing. Which triangle is a copy with a scale factor of 1/3?

• B

• G

• H

How could you express the scale on the drawing without units? Select all that apply.

• 1 to 8

• 1 to 96

• 1/8 to 1

• 1/96 to 1

Cory wants to make a scale drawing of his car in centimeters. The car is 4.4 meters long and 1.4 meters tall. He uses a scale of 1 to 40. The length of the car in his drawing will be ______ cm.

• 11

• 5.5

• 17.6

• 154

Cory wants to make a scale drawing of his car in centimeters. The car is 4.4 meters long and 1.4 meters tall. He uses a scale of 1 to 40. The car's ground clearance is 0.2 meters. How high should be the ground clearance on the scale drawing in centimeters?

• 0.2

• 2

• 20

• 0.5

Choose all of the correct statements.

• Segment QR is twice as long as segment BC.

• Polygon PQRS is a scaled copy of polygon ABCD.

• The scale factor is 1.5.

• Angle C is half the measure of angle R.

• The area of PQRS is 1.5 times greater than ABCD.

Rectangle A measures 12 inches by 6 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

• 3 inches by 1.5 inches

• 7 inches by 3 inches

• 24 inches by 18 inches

• 60 inches by 30 inches

A scale drawing of a playground is 8 inches wide by 11 inches long. The actual playground is 110 yards long. What is the area of the actual playground in square yards?

• 88 yd²

• 968 yd²

• 8,800 yd²

• 9,680 yd²

The scale of a map says that 6 cm represents 15 km.

What distance on the map represents an actual distance of 6 kilometers?

• 3.6

• 2.5

• 2.4

• .42

The scale of a map says that 6 cm represents 15 km.

What is the actual number of kilometers that is represented by 15 cm on the map?

• 37.5

• 90

• 225

• 20