03 Proving Triangle Congruent

Front

What does HL stand for in triangle congruence?

Back

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

Front

What is the SSA condition in triangle congruence?

Back

SSA stands for Side-Side-Angle, which does not guarantee triangle congruence.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion that states 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 does SSS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, 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

What is the missing piece of information needed to prove triangles congruent using ASA?

Back

To use ASA, you need two angles and the included side of one triangle to be equal to the corresponding parts of another triangle.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA does not guarantee triangle congruence because it can lead to ambiguous cases.

Front

What is the significance of the included angle in SAS and ASA?

Back

The included angle is the angle between the two sides being considered, and it is crucial for proving congruence in SAS and ASA.

Front

How can you prove triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.