Similiar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What is the AA similarity criterion?

Back

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

Front

What is the SAS similarity criterion?

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 (SAS criterion).

Front

What is the SSS similarity criterion?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar (SSS criterion).

Front

How do you write a similarity statement?

Back

Front

If the scale factor is greater than one, what type of transformation occurs?

Back

An enlargement.

Front

If the scale factor is less than one, what type of transformation occurs?

Back

A reduction.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

How can you determine if two triangles are similar using a diagram?

Back

By checking if two angles are equal (AA), or if the sides are in proportion (SAS or SSS).