Proportions Scale Factors and Similar Figures

The distance between two cities on a map is 4.125 inches.  Find the actual distance if the scale on the map is 2 inches = 40 miles.

• 165 miles

• 50 miles

• 82.5 miles

• 41.25 miles

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

A large American flag measures 225 feet wide. In an advertisement for renting this flag, the image of the flag is 4 inches wide. What is the scale factor?

• 675

• 56.25

• 65

Line CB corresponds with what line? 

• SR

• PQ

• SP

• RQ

Mrs. Ashley used similar triangles to make a design.  Which statement about the triangles in the design must be true?

• They are the same size and shape.

• They are the same size but different shapes.

• They have corresponding angles that are congruent.

• They have corresponding sides that are congruent.

In a proportion the numbers diagonally across from each other are multiplied together.

• Cross Products

• Unit Rate

• Rate

• Scale Drawing

Which word goes best describes the following: 3 : 5

• ratio

• constant

• coordinate plane

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

• x = 12

• x = 3

• x = 40

• x = 4

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

Find the scale factor of the enlargement from C to A

• 2

• 1/2

• 3

• 1/3