Triangle Congruence

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are congruent to two angles and the corresponding included side of another triangle.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, meaning that for any triangle ΔABC, ΔABC ≅ ΔABC.

Front

What is the significance of congruent angles in triangle congruence?

Back

Congruent angles are crucial in triangle congruence as they help establish relationships between triangles, allowing the use of criteria like AAS and ASA.

Front

How can you prove two triangles are congruent using the SAS criterion?

Back

To prove two triangles are congruent using SAS, you must show that two sides of one triangle are equal to two sides of another triangle, and the angle between those sides is also equal.

Front

What is the relationship between corresponding parts of congruent triangles?

Back

Corresponding parts of congruent triangles are congruent, meaning if two triangles are proven to be congruent, all their corresponding sides and angles are also equal.

Front

What is the purpose of using triangle congruence in proofs?

Back

Triangle congruence is used in proofs to establish that two triangles are identical in shape and size, allowing for the transfer of properties and measurements.

Front

What is the difference between AAS and ASA in triangle congruence?

Back

AAS requires two angles and a non-included side to be congruent, while ASA requires two angles and the included side to be congruent.

Front

Can you use the Reflexive Property in triangle proofs?

Back

Yes, the Reflexive Property can be used in triangle proofs to show that a side or angle is congruent to itself, which can help establish congruence.