Similar 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 theorem?

Back

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

Front

What is the SSS similarity theorem?

Back

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

Front

What is the SAS similarity theorem?

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~).

Front

How do you determine if triangles are similar using AA?

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Front

How do you determine if triangles are similar using SSS?

Back

Check if the ratios of the lengths of corresponding sides are equal.

Front

How do you determine if triangles are similar using SAS?

Back

Check if two sides are in proportion and the angle between them is equal.

Front

What is a similarity statement?

Back

A statement that indicates two triangles are similar, typically written as ΔABC ~ ΔDEF.

Front

If ΔXYZ ~ ΔNEW, what can be inferred about their angles?

Back

The corresponding angles of ΔXYZ and ΔNEW are equal.

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the SAS similarity theorem.