7.5(C) Scale Factor

*Triangle ABC is similar to triangle FGH.

What is the value of x in centimeters?

• 22.5 cm

• 8 cm

• 10.8 cm

• 30 cm

*Ana drew a map of the Panama Canal. In the scale Ana used for the map, 4 centimeters represents 20 kilometers. The actual length of the Panama Canal is 82 kilometers. What is the length in centimeters of the Panama canal on Ana’s map?

• 410 cm

• 15.5 cm

• 16.4 cm

• 162 cm

*The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?

• 35 km

• 70 km

• 20 km

• 1.75 km

*The two parallelograms below are similar.

What is the length in inches of line PQ

• 40 in.

• 34 in.

• 38 in.

• 14 in.

*Corbin made a scale model of the San Jacinto Monument. The monument has an actual height of 604 feet. Corbn’s model used a scale in which 1 inch represents 100 feet. What is the height in inches of Corbin’s model?

• 60,400 ft

• 6.04 ft

• 6,040 ft

• 640 ft

A building is 20 feet tall and casts a 12 foot shadow, and a person who is standing right next to the building casts a 3 foot shadow, how tall would the person be?

• 15 feet

• 20 feet

• 2.5 feet

• 5 feet

In the scale used on a blueprint, 1/4 inch represents 2 feet. On the blueprint what is the length of a room with an actual length of 20 feet?

• 10 inches

• 5 inches

• 1/2 inch

• 2 1/2 inches