Similarity - SSS, SAS, AA

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity, which 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.

Tags

CCSS.HSG.SRT.B.5

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using SSS?

Back

If the lengths of the corresponding sides of two triangles are in the same ratio, then the triangles are similar by SSS.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using SAS?

Back

If two sides of one triangle are proportional to two sides of another triangle and the angles between those sides are equal, then the triangles are similar by SAS.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using AA?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The similarity statement is ΔABC ~ ΔDEF.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what similarity theorem applies?

Back

The SAS similarity theorem applies.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have all three pairs of corresponding sides in proportion, what similarity theorem applies?

Back

The SSS similarity theorem applies.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The triangles are similar by the AA similarity theorem.

Tags

CCSS.HSG.SRT.A.2