Ratios, Proportions, and the Geometric Mean

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

• x = 12

• x = 3

• x = 40

• x = 4

Find the geometric mean if the two extremes are 4 and 12. Put in simplest radical form.

• 3

• 48

Find the length of the missing side

• 5

• 7

• 9

• 11

What is ratio of any two corresponding sides?

• Scale Factor

• Corresponding Sides

• Similar Figures

A scale drawing of a flagpole has a scale of 1 in.= 4 ft. If the drawing of the pole measures 12 inches, how tall is the actual pole?

• 16 feet

• 3 feet

• 48 feet

• 9 feet

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

What is the ratio to the picture shown, triangles to squares?

• 2:6

• 5:6

• 3:4

• 4:3

Solve the proportion.

• k=5

• k=3.3333333

• k=60

• k=90

Solve the proportion.

• q=2

• q=9

• q=4.5

• q=6

In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number c of cats.

• c=15

• c=18

• c=21

• c=16