Triangle Congruence SSS, SAS, ASA, AAS, HL

Front

What are the five ways to prove triangles congruent?

Back

SSS, ASA, AAS, SAS, HL

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side: If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

Side-Angle-Side: 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 ASA stand for in triangle congruence?

Back

Angle-Side-Angle: 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

Angle-Angle-Side: 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 does HL stand for in triangle congruence?

Back

Hypotenuse-Leg: In right triangles, if the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle, the triangles are congruent.

Front

Can SSA be used to prove triangle congruence?

Back

No, SSA (Side-Side-Angle) does not guarantee triangle congruence.

Front

If two triangles have two angles equal, what can be said about the triangles?

Back

They are similar, but not necessarily congruent unless the third side is also equal.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle between the two sides being compared, which is crucial for establishing congruence.

Front

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

Back

If two angles and a corresponding non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, the triangles are congruent.