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Front

What is the congruence statement for triangles based on the angles and sides?

Back

The congruence statement for triangles can be established using criteria such as ASA (Angle-Side-Angle), SAS (Side-Angle-Side), SSS (Side-Side-Side), and AAS (Angle-Angle-Side).

Front

What does AAA stand for in triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which is not a valid criterion for proving triangle congruence.

Front

What is the Reflexive Property in geometry?

Back

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

Front

What is the definition of bisect?

Back

To bisect means to divide something into two equal parts.

Front

What is the SAS criterion for triangle congruence?

Back

SAS (Side-Angle-Side) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent.

Front

What is the SSS criterion for triangle congruence?

Back

SSS (Side-Side-Side) states that if all three sides of one triangle are congruent to all three sides of another triangle, then the triangles are congruent.

Front

What is the AAS criterion for triangle congruence?

Back

AAS (Angle-Angle-Side) states that 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.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning all corresponding sides and angles are equal.

Front

What is the importance of the Given statement in proofs?

Back

The Given statement provides the initial information or conditions that are assumed to be true for the purpose of the proof.

Front

What is the significance of the statement 'Not Congruent' in triangle comparison?

Back

'Not Congruent' indicates that the triangles do not have equal corresponding sides and angles, thus they are different in size or shape.