Triangle Congruence

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 is the SSS criterion for triangle congruence?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are congruent 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 congruent to two sides and the included angle of another triangle.

Front

What is the AAS criterion for 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 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 right triangle are congruent to the hypotenuse and one leg of another right triangle.

Front

Can two triangles be congruent if only two sides are known?

Back

No, two triangles cannot be determined to be congruent with only two sides known; additional information, such as an angle, is needed.

Front

What is the significance of the statement JL=JI in triangle proofs?

Back

The statement JL=JI indicates that two segments are congruent, which is often a necessary step in proving triangle congruence.

Front

What does it mean if two triangles are 'not necessarily congruent'?

Back

'Not necessarily congruent' means that the information provided is insufficient to conclude that the two triangles are congruent.

Front

What is the purpose of triangle congruence criteria?

Back

Triangle congruence criteria are used to determine if two triangles are congruent based on their sides and angles, which helps in solving geometric problems.

Front

What is the difference between ASA and AAS?

Back

ASA requires two angles and the included side to be congruent, while AAS requires two angles and a non-included side to be congruent.