Proportions and Scale Drawing and Similar Figures

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

• 16 feet

• 3 feet

• 48 feet

• 9 feet

From Denver to Chicago = 3 inches. If the scale is 1 inch = 300 miles, find the actual distance.

• 300 miles

• 1000 miles

• 900 miles

• 600 miles

Are these figures similar? Why or why not?

• Yes, their shapes are the same

• No, their corresponding sides are not equal.

• No, their corresponding sides are not proportional.

• Yes, their corresponding sides are proportional

An adult elephant that is 8 ft tall casts a shadow that is 4 ft long. Find the height of a statue that casts a 9 ft shadow.

• 36 ft 

• 2 ft 

• 16 ft 

• 18 ft 

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

Find x.

• 6

• 7.5

• 22.5

• 3.6

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

Figures that have the same shape but different sizes; their sides are proportional, and their corresponding angles are equal.

• Scale Factor

• Similar Figures

• Umit Rate

• Equivalent Ratios

An equation stating that two ratios are equal.

• Proportion

• Congruent

• Unit RAte

• Scale FActor

A drawing that shows a real object with accurate sizes except they have all been reduced or enlarged by a certain amount (called the scale).

• Cross Prodcuts

• Corresponding Sides

• Unit Rate

• Scale Drawing