Ratios and Proportions, Similar Polygons, and Proportions in Triangles

The polygons in each pair are similar. Find the scale factor of the smaller figure to the larger

figure.

• a

• b

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Determine if the triangles are similar. Justify.

• Yes, SAS.

• Yes, AA.

• Yes, SSS.

• No, not similar.

Solve the proportion:

• 4

• 8

• 14

• 10

Patrick has 2 black, 3 red, and 5 white toy cars. What is the ratio of red toy cars to all the toy cars?

• 3:5

• 1:3

• 3:11

• 3:10

For every 3 cups of rice you need 2 cups of water, if you use 12 cups of rice, how much water will you need.

• 4

• 8

• 24

• 6

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

State if the polygons are similar.

• a

• b

Are the following similar? Why or why not?

• Yes

• No, the corresponding angles are not equal.

• No, the ratios of the corresponding sides are not equal.

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

• AA

• SAS

• SSS

• not similar