Similar Polygons

Front

What are similar polygons?

Back

Polygons 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

How do you find the missing side of similar polygons?

Back

Use the property of proportionality between the corresponding sides of the similar polygons to set up a proportion and solve for the missing side.

Front

What is the SAS similarity criterion for triangles?

Back

If two triangles have two corresponding sides in proportion and the included angle is equal, then the triangles are similar.

Front

What is a proportion?

Back

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

Front

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

Back

Their corresponding angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

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

Front

How can 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 does it mean to solve for x in the context of similar polygons?

Back

It means to find the value of the variable x that makes the ratios of the corresponding sides of the similar polygons equal.

Front

What is the formula for finding the scale factor between two similar polygons?

Back

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

Front

How do you set up a proportion to find a missing side in similar polygons?

Back

Set up a proportion using the lengths of the known sides of the polygons and the unknown side, such that (length of side 1)/(length of side 2) = (length of corresponding side 1)/(length of corresponding side 2).