5. 3 Proving Triangles Congruent

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What does ASA stand for in triangle congruence?

Back

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

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a theorem that states if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the triangles are congruent.

Front

What does SSA stand for in triangle congruence?

Back

SSA stands for Side-Side-Angle, which is not a valid triangle congruence theorem because it does not guarantee that the triangles are congruent.

Front

What is the Reflexive Property in geometry?

Back

The Reflexive Property states that any geometric figure is congruent to itself, which is often used in proving triangle congruence.

Front

What is the HL theorem in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a theorem that states if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.

Front

What is needed to prove triangles congruent using SAS?

Back

To prove triangles congruent using SAS, you need two sides and the included angle of one triangle to be congruent to two sides and the included angle of another triangle.

Front

What is needed to prove triangles congruent using ASA?

Back

To prove triangles congruent using ASA, you need two angles and the included side of one triangle to be congruent to two angles and the included side of another triangle.

Front

What is needed to prove triangles congruent using AAS?

Back

To prove triangles congruent using AAS, you need two angles and a non-included side of one triangle to be congruent to two angles and the corresponding non-included side of another triangle.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA cannot be used to prove triangle congruence because it does not guarantee that the triangles are congruent.