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 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 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 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 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 Reflexive Property?

Back

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

Front

What is the significance of congruent angles in triangle proofs?

Back

Congruent angles help establish relationships between triangles, allowing for the application of congruence criteria to prove that triangles are congruent.

Front

What is the significance of congruent sides in triangle proofs?

Back

Congruent sides are essential in triangle proofs as they provide the necessary information to apply congruence criteria like SSS, SAS, and AAS.

Front

How do you determine if two triangles are congruent?

Back

To determine if two triangles are congruent, check if they satisfy any of the congruence criteria: SAS, ASA, SSS, AAS, or HL.

Front

What is the purpose of a triangle proof?

Back

The purpose of a triangle proof is to demonstrate that two triangles are congruent using logical reasoning and established geometric principles.