Triangle Congruence

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 equal to the three sides of another triangle.

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 equal 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 equal to two angles and the included side 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 equal to two angles and the corresponding non-included side of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the significance of the statement AD=AD in proofs?

Back

AD=AD is an example of the Reflexive Property, which states that a quantity is equal to itself and is often used in proofs to establish congruence.

Front

What is the significance of the statement HD=DN in proofs?

Back

HD=DN indicates that segments HD and DN are equal, which can be used to establish congruence between triangles in a proof.

Front

Can triangles be congruent if only angles are known?

Back

No, triangles cannot be determined to be congruent based solely on angles (AAA); additional information about sides is needed.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in shape and size (equal sides and angles), while similarity means that triangles have the same shape but may differ in size (proportional sides and equal angles).

Front

What is the Angle-Side relationship in triangle congruence?

Back

The Angle-Side relationship states that the side opposite the larger angle in a triangle is longer than the side opposite the smaller angle.