Similar Figures

Front

What are similar figures?

Back

Similar figures are shapes that have the same shape but may differ in size. Their corresponding angles are equal, and the lengths of their corresponding sides are proportional.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. It is often used to solve problems involving similar figures.

Front

How do you find a missing side length in similar figures?

Back

To find a missing side length, set up a proportion using the lengths of corresponding sides from the similar figures.

Front

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

Back

If two triangles are similar, their corresponding angles are equal.

Front

What is the formula for the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.

Front

If a tree is 12 feet tall and casts a shadow of 9 feet, what is the height of a building that casts a shadow of 24 feet?

Back

The height of the building is 32 feet.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are in proportion.

Front

How do you set up a proportion to solve for a missing side?

Back

To set up a proportion, write the ratio of the lengths of one pair of corresponding sides equal to the ratio of the lengths of the other pair of corresponding sides.

Front

What is the missing side length x in triangle DEF if the triangles are similar?

Back

x = 9.75.

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of two corresponding sides of similar figures.