Exploring Proportions and Similar Figures

What does the symbol '~' represent in geometry?

• Is equal to

• Is congruent to

• Is similar to

• Is parallel to

In similar triangles, what can be said about the corresponding angles?

• They are complementary

• They are supplementary

• They are proportional

• They are equal

If triangle ABC is similar to triangle DEF, which of the following is true?

• Side BC is proportional to side EF

• Angle A is congruent to angle D

• Side AB is equal to side DE

• Angle B is congruent to angle F

How do you find the length of a missing side in similar triangles?

• By adding the lengths of the known sides

• By using the Pythagorean theorem

• By setting up a proportion with corresponding sides

• By measuring directly

What is the first step in solving an indirect measurement problem using similar figures?

• Calculate the area of the figures

• Measure the height of the object directly

• Set up a proportion with the known lengths

• Draw a diagram of the similar figures

In the example of finding the height of a building using a shadow, what is the proportion set up?

• Height of building / length of building's shadow = height of person / length of person's shadow

• Height of building / height of person = length of person's shadow / length of building's shadow

• Height of building / height of person = length of building's shadow / length of person's shadow

• Height of person / height of building = length of building's shadow / length of person's shadow

What is a scale drawing?

• A drawing that is identical to the actual object

• A drawing that is proportional to the actual object

• A drawing that is larger than the actual object

• A drawing that is smaller than the actual object

If a map scale is 1 inch to 110 miles, how many miles does 1.25 inches represent?

• 137.5 miles

• 150 miles

• 125 miles

• 110 miles

How do you determine the scale of a map if you know the actual distance and the map distance?

• By dividing the actual distance by the map distance

• By multiplying the actual distance by the map distance

• By adding the actual distance to the map distance

• By subtracting the map distance from the actual distance

What is the ratio called that compares the length on a scale model to the actual length?

• Proportion

• Scale

• Ratio

• Measurement