Scale Drawings, Scale Factor and Similar Figures

What is the scale factor from ΔDEF to ΔABC?

• 1/2

• 7/3

• 2

• 10/3

On a map, the distance between two towns in 2.6 cm. The scale of the map is 1 cm:50 km. What is the actual distance between the two towns?

• 100 km

• 130 km

• 70 km

• 150 km

A rectangular garden is 45 ft wide and 70 ft long. On a blueprint, the width is 9 in. Identify the length on the blueprint. 

• 7 in

• 9 in

• 12 in

• 14 in

The two rectangles are scale drawings. What is the measurement of x?

• 21

• 1.25

• 20

• 4

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

Find y.

• 144

• 18

• 72

• 12

Solve the proportion.
____ = ____

• p=31.3

• p=308

• p=924

• p=532

A model of a house was built using the scale 5 in:25 ft. If a window in the model is 1.5 in. wide, how wide is the actual window?

• 90 ft

• 7.5 ft 

• 4.5 ft

• 45 in

A blueprint was using a scale of 1cm = 1.5m. Find the actual length if it is 5cm on the drawing.

• 7.5

• 13.5

• 1.5

• 1.7

Scale is 1cm = 8km. Hatboro and Smithville are 24cm apart on the map, what is the actual distance between the 2 cities?

• 87 km

• 216 km 

• 33 km

• 192 km