Proportionality and Similar Shapes

Leon created a scale drawing of the school library in his art class. In the scale drawing, the length of the library is 13 inches. The length of the actual library is 78 feet. Which scale did Leon use to create the scale drawing of the school library?

A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters.

What is the length of the building on the scale drawing in centimeters.

• F

  55cm

• G

  16cm

• H

  20cm

• J

  64cm

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet.

What is the height of the scale model in inches?

• F

  3 inches

• G

  105 inches

• H

  12 inches

• I

  60 inches

An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet.

What is the length in inches of the building in the scale drawing?

Mathematical Equivalence

OFF

Solve the proportion.

• p=924

• p=308

• p=28

• p=45

Find side length X.

• 18

• 2.4

• 24

• 15

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

• 42 in

• 56 in

• 7 in

• 14 in

Similar Figures

• the measurement of a surface

• sides that have the same relative position in two geometric figures

• two figures that are the same shape and have proportional side lengths

• the distance around a figure

scale factor

• the ratio of two corresponding sides in a set of similar figures

• the measurement of a surface

• a transformation in which a figure is enlarged or reduced

• the distance around a figure

Corresponding sides

• sides that have the same relative position in two geometric figures

• the measurement of a surface

• the distance around a figure

• the ratio of two corresponding sides in a set of similar figures