IM2 Triangle Proofs

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 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 included side of another triangle.

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent to all three sides 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 SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is NOT a valid criterion for proving triangle congruence.

Front

What is the Reflexive Property in triangle congruence?

Back

The Reflexive Property states that any geometric figure is congruent to itself, e.g., FH≅FH.

Front

What is the purpose of the congruence statement?

Back

A congruence statement indicates that two triangles are congruent, showing which corresponding parts are equal, e.g., ∆BCA≅∆DCE.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle formed between the two sides being compared, which is crucial for establishing congruence.

Front

What is the significance of corresponding parts in triangle congruence?

Back

Corresponding parts of congruent triangles are equal, which means if triangles are congruent, all their corresponding sides and angles are also congruent.

Front

What is the Angle-Angle (AA) similarity criterion?

Back

The AA criterion states that if two angles of one triangle are congruent to two angles of another triangle, the triangles are similar.