7-2 Similar Polygons

Front

What are similar polygons?

Back

Similar polygons are 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

What is the similarity statement for triangles?

Back

The similarity statement for triangles indicates that two triangles are similar. It is written using the symbol '∼'. For example, if triangle ABC is similar to triangle DEF, it is written as ΔABC ∼ ΔDEF.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if: 1) Their corresponding angles are equal (Angle-Angle or AA criterion), or 2) The lengths of their corresponding sides are proportional (Side-Side-Side or SSS criterion), or 3) Two sides are proportional and the included angle is equal (Side-Angle-Side or SAS criterion).

Front

What is the significance of the value of x in similar polygons?

Back

The value of x in similar polygons often represents a length or measurement that can be found using the properties of similar figures, such as proportionality of corresponding sides.

Front

What is the ratio of similarity?

Back

The ratio of similarity is the ratio of the lengths of corresponding sides of two similar polygons. It is constant for all pairs of corresponding sides.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape, which means their corresponding angles are equal and their corresponding sides are in proportion.

Front

How can you solve for a missing side length in similar polygons?

Back

To solve for a missing side length in similar polygons, set up a proportion using the lengths of corresponding sides and solve for the unknown variable.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

The Angle-Angle (AA) criterion states that if two angles of one triangle are equal to two angles of another triangle, then the two triangles are similar.

Front

What is the Side-Side-Side (SSS) criterion for triangle similarity?

Back

The Side-Side-Side (SSS) criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the Side-Angle-Side (SAS) criterion for triangle similarity?

Back

The Side-Angle-Side (SAS) criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.