ASA and AAS Postulates

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate that states if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the significance of congruent triangles?

Back

Congruent triangles have the same size and shape, meaning their corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent angles, what can be concluded?

Back

The triangles are congruent by the AAS postulate.

Tags

CCSS.8.G.A.2

Front

If two triangles have two pairs of congruent sides and the included angle, what can be concluded?

Back

The triangles are congruent by the ASA postulate.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent using ASA?

Back

You need to know that the included side between the two angles is congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What additional information is needed to prove triangles congruent using AAS?

Back

You need to know that the non-included side is congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can two triangles be congruent if only one angle and one side are known?

Back

No, you need at least two angles and one side (AAS) or two sides and the included angle (ASA) to prove congruence.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent angles?

Back

Congruent angles have the same measure.

Tags

CCSS.8.G.A.2

Front

What is the relationship between congruent sides?

Back

Congruent sides have the same length.

Tags

CCSS.8.G.A.2