ASA and AAS

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 postulate 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 congruence statement for triangles ΔDEC and ΔBEA?

Back

ΔDEC ≅ ΔBEA.

Tags

CCSS.HSG.CO.B.7

Front

Which postulate is used to determine the congruence of triangles when two angles and a non-included side are known?

Back

AAS (Angle-Angle-Side) is used to determine the congruence of triangles when two angles and a non-included side are known.

Tags

CCSS.HSG.SRT.B.5

Front

What is the difference between ASA and AAS?

Back

ASA requires the included side between the two angles to be known, while AAS does not require the side to be between the two angles.

Tags

CCSS.HSG.SRT.B.5

Front

Can AAA be used to prove triangle congruence?

Back

No, AAA (Angle-Angle-Angle) cannot be used to prove triangle congruence because it does not guarantee that the triangles are of the same size.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two triangles have two pairs of equal angles, the third angles are also equal, and the triangles are similar, but not necessarily congruent.

Tags

CCSS.HSG.CO.B.7

Front

What is the significance of the included side in ASA?

Back

The included side in ASA is the side that is between the two angles being considered, and it is crucial for establishing congruence.

Tags

CCSS.HSG.SRT.B.5

Front

What is the congruence postulate that can be used when two angles and the included side are known?

Back

The congruence postulate that can be used is ASA (Angle-Side-Angle).

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are congruent by AAS, what can be said about their corresponding sides?

Back

If two triangles are congruent by AAS, their corresponding sides are also equal in length.

Tags

CCSS.HSG.SRT.B.5