Exploring Proportions and Similar Figures in Algebra

What is a key characteristic of similar figures?

• They have different shapes and sizes.

• They have the same size.

• They have the same shape but not necessarily the same size.

• They are always triangles.

Which of the following is true about similar triangles?

• They have different proportions.

• They are always oriented the same way.

• They have the same angle measures.

• They have the same side lengths.

In the example with triangles ABC and DEF, what is the length of DE if AB is 10, BC is 16, and EF is 12?

• 10

• 12

• 8

• 7.5

How can you measure the height of a building using shadows?

• By setting up a proportion with the shadow lengths.

• By using a ruler.

• By using a scale drawing.

• By measuring the building directly.

If a girl's shadow is 3 feet long and the building's shadow is 15 feet long, what is the height of the building if the girl is 5 feet tall?

• 15 feet

• 30 feet

• 20 feet

• 25 feet

What is a scale drawing?

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

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

• A drawing that is not proportional.

• A three-dimensional model.

If the distance between two cities on a map is 1.25 inches and the scale is 1 inch to 110 miles, what is the actual distance?

• 125 miles

• 150 miles

• 110 miles

• 137.5 miles

What is a scale model?

• A two-dimensional drawing.

• A 3D model similar to an actual object.

• A fashion model.

• A map.

If a giant's heart is 14 feet tall and the giant is 140 feet tall, what is the expected size of a heart for a person who is 6 feet tall?

• 3 feet

• 2 feet

• 1.4 feet

• 0.6 feet

How do you set up a proportion?

• By dividing one ratio by another.

• By adding two ratios together.

• By setting two ratios equal to each other.

• By multiplying two ratios.