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 their corresponding sides are proportional.

Front

How do you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Front

What is the relationship between the sides of similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Front

If two triangles are similar, what can you say about their angles?

Back

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

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How can you set up a proportion to find a missing length in similar figures?

Back

To set up a proportion, you can use the lengths of corresponding sides of the similar figures and create a ratio.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same position in two different shapes that are similar.

Front

What are corresponding sides?

Back

Corresponding sides are the sides of two similar figures that are in the same relative position.

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 does it mean for angles to be congruent?

Back

Congruent angles are angles that have the same measure.