Triangle Congruency Flashcard

Front

What does HL stand for in triangle congruency?

Back

HL stands for Hypotenuse-Leg, a theorem used to prove the congruence of right triangles.

Front

What is the SAS congruence theorem?

Back

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

Front

What is the AAS congruence theorem?

Back

AAS stands for Angle-Angle-Side, which states that 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, then the triangles are congruent.

Front

What does ASA stand for in triangle congruency?

Back

ASA stands for Angle-Side-Angle, which states that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the triangles are congruent.

Front

What is SSA in triangle congruency?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence because it can lead to ambiguous cases.

Front

What information is required to prove triangles are congruent using SAS?

Back

To use SAS, you need two sides and the included angle of one triangle to be equal to two sides and the included angle of another triangle.

Front

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

Back

Not necessarily; knowing only two sides (SSA) does not guarantee congruence due to the possibility of different triangle configurations.

Front

What is the significance of corresponding angles in triangle congruency?

Back

Corresponding angles are crucial in proving triangle congruence as they must be equal for the triangles to be congruent.

Front

How can you determine if two triangles are congruent using AAS?

Back

To use AAS, you need two angles and a non-included side of one triangle to be equal to two angles and the corresponding non-included side of another triangle.

Front

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

Back

It means that the information provided does not guarantee that the triangles are congruent, often due to insufficient data.