Similar Figures and Proportions

Front

What are similar figures?

Back

Figures that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the definition of corresponding sides?

Back

Sides of two or more similar figures that are in the same relative position.

Front

How do you find the perimeter of similar figures?

Back

The perimeter of similar figures can be found by using the ratio of their corresponding sides.

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Front

If two triangles are similar, what can be said about their angles?

Back

All corresponding angles are equal.

Front

How can you use proportions to find a missing side length in similar triangles?

Back

Set up a proportion using the lengths of corresponding sides and solve for the unknown.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides are proportional.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their sides?

Back

The ratio of their sides is 6:9 or 2:3.

Front

What is the formula for finding the height of an object using similar triangles?

Back

Height = (Distance to object) * (Height of reference object) / (Distance to reference object).

Front

If the height of a tree is 72 feet and the distance from the tree to the observer is 36 feet, what is the height of the observer if they are 18 feet away from a mirror?

Back

The height of the observer is 36 feet.