ASA & AAS Triangle Congruence

Front

What does ASA stand for in triangle congruence?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem used to prove that two triangles are congruent if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Tags

CCSS.HSG.SRT.B.5

Front

What is the ASA postulate?

Back

The ASA postulate 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 two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AAS theorem?

Back

The AAS theorem states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

Can you prove triangles are congruent using ASA?

Back

Yes, if you have two angles and the included side of one triangle equal to two angles and the included side of another triangle, you can prove the triangles are congruent using the ASA postulate.

Tags

CCSS.HSG.SRT.B.5

Front

Can you prove triangles are congruent using AAS?

Back

Yes, if you have two angles and a non-included side of one triangle equal to two angles and the corresponding non-included side of another triangle, you can prove the triangles are congruent using the AAS theorem.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA requires the included side between the two angles to be equal, while AAS allows for a non-included side to be equal.

Front

What is the SSS postulate?

Back

SSS stands for Side-Side-Side, a postulate that states if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS postulate?

Back

SAS stands for Side-Angle-Side, a postulate that states if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSA stand for, and is it a valid congruence postulate?

Back

SSA stands for Side-Side-Angle. It is not a valid congruence postulate because it does not guarantee triangle congruence.

Tags

CCSS.8.G.A.2