Proportions Theorems

Form ratios and a proportion out of the picture above.

• 2 : 6, 1 : 3 and 2 : 6 = 1: 3

• 6 : 2, 1 : 3 and 2 : 6 = 1: 3

• 6 : 2, 3 : 1 and 2 : 6 = 1: 3

• 6 : 3, 1 : 2 and 6 : 3 = 1: 2

Are 2 : 3 and 10 : 15 equivalent?

• Yes

• NO

Solve for x 

• x = 16

• x = 28

• x = 1/26

• x = 26

Solve the proportion:

• 4

• 8

• 14

• 10

A tree is 12 feet tall and casts a shadow 9 feet long. A building nearby casts a shadow that measures 24 feet. How tall is the building? (Draw a picture, set up a proportion)

• 24 feet

• 21 feet

• 27 feet

• 32 feet

At the same time a 6 foot person casts a 2 foot shadow, a nearby flagpole casts a ten foot shadow.  How tall is the flagpole?

• 3 feet

• 10 feet

• 16 feet

• 30 feet

What are two equal ratios or rates called?

• Rate

• Ratio

• Proportion

• Unit Rate

In one day, a Redbox rented out 20 comedies. If the ratio of comedies rented to action movies rented was 4:3, how many action movies were rented?

• 5 action movies

• 15 action movies

• 3.3333 action movies

• 4 action movies

A Transformer stands 20 ft. tall with a shadow of 6 ft. long. If the Transformer next to it is 30 ft. tall, how long would its shadow be?

• 9 ft.

• 4 ft.

• 6 ft.

• 3 ft.

Are the two ratios proportional?
7:12 and 5 to 8

• Yes

• No