Triangle Similarity Theorems

Front

What is the AA Similarity Postulate?

Back

If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the SAS Similarity Theorem?

Back

If an angle of one triangle is congruent to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS Similarity Theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Write the proportion for similar triangles given sides 15 and 6, and 25 and x.

Back

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of similar triangles?

Back

Similar triangles have corresponding angles that are equal and corresponding sides that are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

Which similarity criterion is used when two angles of one triangle are equal to two angles of another triangle?

Back

AA Similarity.

Tags

CCSS.HSG.SRT.A.2

Front

Which similarity criterion is used when two sides of one triangle are proportional to two sides of another triangle and the included angles are equal?

Back

SAS Similarity.

Tags

CCSS.HSG.SRT.B.5

Front

Which similarity criterion is used when all three sides of one triangle are proportional to the corresponding sides of another triangle?

Back

SSS Similarity.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA similarity theorem?

Back

ASA (Angle-Side-Angle) states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5