3.2.4 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 does AA similarity mean?

Back

AA similarity means that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

What does SSS similarity mean?

Back

SSS similarity means that if the lengths of the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS similarity mean?

Back

SAS similarity means that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

How can you determine if triangles are not similar?

Back

Triangles are not similar if their corresponding angles are not equal or their corresponding sides are not in proportion.

Front

What is the similarity statement for triangles ΔABC and ΔDEF if they are similar?

Back

ΔABC~ΔDEF

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 SAS similarity.

Front

If two triangles have all three pairs of corresponding sides in proportion, what can be concluded?

Back

The triangles are similar by SSS similarity.

Front

If two triangles have two angles equal, what can be concluded?

Back

The triangles are similar by AA similarity.

Front

What is the relationship between the sides of similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.