Scale Drawings, Scale Factor and Similar Figures

Corresponding angles in similar figures are congruent.

• True

• False

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Gwen scans a photo that is 4 in. wide by 6 in. tall into her computer. If she scales the height down to 3 in., how wide should the similar photo be?

• 3 in

• 2 in.

• 4 in

• 1 in

Complete each proportion.
CB / DM  =  AC / ?

• BM

• MA

• BC

• AD

On a map, the distance between Louisville, Kentucky, and Nashville, Tennessee, is 1.75 inches. The scale of the map is 1 in:100 mi. What is the actual distance between the two cities?

• 200 miles

• 175 miles

• 100 miles

• 125 miles

The __________ is the ratio of a length of the image to the corresponding length on the original figure.

• reduction

• enlargement

• scale factor

• center of dilation

The pair of figures is similar. Find the missing side.

• x = 9

• x = 28

• x = 7

• x = 63

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

• 12 feet

• 16 feet 

• 10 feet

• 4 feet

A blueprint was using a scale of 3cm=4.5m. Find the actual length if it is 5cm on the drawing.

• 7.5

• 13.5

• 1.5

• 1.7

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