Similar Polygons Advanced

Front

What are similar polygons?

Back

Polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the lengths of corresponding sides are proportional.

Front

What is the Scale Factor in similar polygons?

Back

The ratio of the lengths of corresponding sides of two similar polygons.

Front

How can you determine if two triangles are similar?

Back

By using the AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity criteria.

Front

What does AA similarity criterion state?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does SSS similarity criterion state?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What does SAS similarity criterion state?

Back

If two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is a similarity statement?

Back

A statement that indicates that two figures are similar, typically written in the form ΔABC~ΔDEF.

Front

How do you find the missing length in similar polygons?

Back

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

Front

What is the relationship between the areas of similar polygons?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

Front

If the scale factor of two similar triangles is 3:2, what is the ratio of their areas?

Back

The ratio of their areas is 9:4, since (3/2)² = 9/4.