similar polygons

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. Their corresponding angles are equal, and their corresponding sides are proportional.

Front

When figures are similar, what can be said about their corresponding sides?

Back

Their corresponding sides are proportional.

Front

When figures are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

What is a similarity statement?

Back

A similarity statement is a mathematical statement that indicates that two figures are similar, often written in the form of ΔABC ~ ΔDEF.

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if they satisfy one of the following criteria: AA (Angle-Angle), SSS (Side-Side-Side), or SAS (Side-Angle-Side) similarity.

Front

What is the AA criterion for triangle similarity?

Back

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

Front

What is the SSS criterion for triangle similarity?

Back

The 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 SAS criterion for triangle similarity?

Back

The 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.

Front

If triangle ABC is similar to triangle DEF, how are the sides related?

Back

The lengths of the sides of triangle ABC are proportional to the lengths of the sides of triangle DEF.

Front

If two triangles are similar, how do their areas compare?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides.