Review for Ratios and Proportions and Similar Polygons

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

Sides in similar figures must be proportional.  

• True

• False 

Solve for x

• 1/2

• 25/8

• 11

• 53/4

A cake recipe calls for 1.5 cups of milk and 3 cups of flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?

• 2.5 cups milk

• 1.75 cups milk

• 2 cups flour

• 2.25 cups milk

A comparison of two quantities by division is a _____.

• scale factor

• extremes of a proportion

• proportion

• ratio

In a proportion a:b = c:d, the two middle positions are called the _____.

• extremes of the proportion

• similarity ratio

• scale factor

• means of the proportion

Are the two triangles Similar?  

• Yes, by the SSS postulate

• Yes, by the SAS postulate

• Yes, by the AA postulate

• No, they are NOT similar 

The length of the sides of two similar triangles are in the ratio of 2:3. If the area of the larger triangle is 45 cm², find the area of the smallest triangle.

• 30 cm²

• 15 cm²

• 10 cm²

• 20 cm²

Find AE

• 12.5

• 18

• 11.75

• 13

Choose the correct scale factor if NDMP is the original and N'D'M'P'

• 2

• 3

• 1/3

• 1/2