Exploring Proportions and Similar Figures

What does the symbol '~' represent in geometry?

• Is similar to

• Is congruent to

• Is parallel to

• Is equal to

In similar figures, what is true about the corresponding angles?

• They are equal

• They are supplementary

• They are complementary

• They are proportional

If triangle ABC is similar to triangle DEF, and AB/DE = 3/4, what is the ratio of BC to EF?

• 1/1

• 4/3

• 3/4

• 3/5

To find the length of side DE in similar triangles ABC and DEF, which proportion would you set up if AB = 10, BC = 12, and EF = 16?

• x/12 = 10/16

• x/10 = 10/12

• x/10 = 12/16

• x/16 = 10/12

How can you use shadows to find the height of a building?

• By measuring the height of the building directly

• By measuring the shadow of the building and a known object, then setting up a proportion

• By using a scale drawing

• By using a tape measure

If a man who is 6 feet tall casts a shadow of 3 feet, and a flagpole casts a shadow of 17.5 feet, how tall is the flagpole?

• 40 feet

• 35 feet

• 30 feet

• 25 feet

What is a scale drawing?

• A drawing that is similar to an actual object or place

• A drawing that is smaller than the actual object

• A drawing that is the same size as the actual object

• A drawing that is larger than the actual object

If the scale of a map is 1 inch to 110 miles, how many miles is 1.25 inches on the map?

• 125 miles

• 110 miles

• 137.5 miles

• 150 miles

How do you identify corresponding parts in similar triangles?

• By matching angles and sides in the same order

• By measuring all sides

• By comparing areas

• By using a protractor

If the scale of a model is 1 inch to 50 feet, how tall is a building if the model is 6 inches tall?

• 200 feet

• 400 feet

• 100 feet

• 300 feet