A Scale and Similarity

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

A scale drawing of a house shows 9cm ×10cm. If 6cm=12 ft, what are the actual dimensions?

• 9ft x 10ft

• 1ft x 2ft

• 12ft x 6ft

• 18ft x 20ft

True or False: The scale tells us what some length on the scale drawing represents in actual length

• True

• False

Your scale is 1 inch to 5 miles. If the drawing shows a road that is 2 inches long, how many miles is the actual road?

• 5 miles

• 2.5 miles

• 10 miles

• 7 miles

Lin has a scale model of a modern train. The model is created at a scale of 1 to 48. The height of the model train is 102 millimeters. What is the actual height of the train?

• 4,896,000 millimeters

• 4,896 millimeters

• 48.96 meters

• 2.125 millimeters

Kiera measured a farm and made a scale drawing. In real life, the goat pen is 18 meters long. It is 6 centimeters long in the drawing. What scale did Kiera use for the drawing?

• 1 cm = 6 meters

• 1 m = 18 centimeters

• 18 centimeters = 6 meters

• 1 cm = 3 meters

A map has a scale of 1 cm=5km.  On the map, two cities are 3 cm apart. What is the actual distance between these cities? 

• 7 km

• 5 km

• 15 km

• 17 km 

Scale: 1in.=7ft. The actual width of the backyard is 49 ft, how wide is it in the drawing?

• 14 in

• 7 in

• 42 in

• 56 in

Which angle corresponds to angle ABC?

• angle BCA

• angle EDF

• angle DFE

• angle CAB

ABCD is the original, EFGH is the copy. If angle E is 30^o, what is angle A?

• 15^o

• 30^o

• 60^o

• 90^o