Similarity - SSS, SAS, AA

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, 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 in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

The triangles are similar by AA similarity.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The triangles are similar by SAS similarity.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if they do not have any equal angles?

Back

No, if the triangles do not have any equal angles, they cannot be similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding angles?

Back

Angle A is equal to Angle D, Angle B is equal to Angle E, and Angle C is equal to Angle F.

Tags

CCSS.HSG.SRT.A.2