Scale Drawing and Similar Shapes

Aiden is making a model of the Lincoln Memorial. The height of his model is going to be 20 in. What is the width of his model?

• 50 in.

• 220 in.

• 20 in.

• 10 in.

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

Jamie made a scale drawing of his apartment building.  The building is 300 ft tall.  He wants his scale to be 1 inch : 10 ft.  How tall should his building be in his scale drawing?

• 25 inches

• 60 inches

• 1/30 inch

• 30 inches

Find the perimeter of the large triangle.

• 24

• 36

• 12

• 54

Find side length X.

• 16

• 18

• 2.4

• 15

Tell whether the two figures are similar. Explain your reasoning.

• Yes, similar because they are the same shape and side lengths are proportional.

• No, not similar because they are the same shape, but side lengths are not proportional.

• Yes, same shape

• No, different sizes

Triangle ABC and XYZ are similar.  Use your knowledge of scale factor to find the length of X.

• 20

• 25

• 100

• 40

All corresponding sides are proportional (same ratio) in similar figures.

• True

• False

What is the scale factor of these similar shapes?

• 10

• 7

• 9

• 11

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

• x = 9

• x = 28

• x = 7

• x = 63