Triangle Congruence -SSS ; SAS, review

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the SAA criterion for triangle congruence?

Back

SAA stands for Side-Angle-Angle, a criterion that states 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, the triangles are congruent.

Front

Is SSA a valid criterion for proving triangle congruence?

Back

No, SSA (Side-Side-Angle) is not a valid criterion for proving triangle congruence because it can lead to ambiguous cases.

Front

What is the Reflexive Property in geometry?

Back

Front

What is the significance of the Midpoint Theorem in triangle congruence?

Back

The Midpoint Theorem states that if a point is the midpoint of a segment, then it divides the segment into two equal parts, which can be used in proofs of triangle congruence.

Front

What is the AAA criterion for triangle congruence?

Back

AAA stands for Angle-Angle-Angle, which states that if three angles of one triangle are equal to three angles of another triangle, the triangles are similar but not necessarily congruent.

Front

What additional information is required for two triangles to be congruent by SSS?

Back

No additional information is required; if all three sides of one triangle are equal to all three sides of another triangle, they are congruent.

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the purpose of triangle congruence theorems?

Back

Triangle congruence theorems are used to prove that two triangles are congruent, which helps in solving geometric problems and establishing relationships between figures.