Triangle Congruence: HL

Front

What does AAS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Back

SSS stands for Side-Side-Side, a rule that states if all three sides of one triangle are equal to all three sides 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 rule that states 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 does HL stand for in triangle congruence?

Back

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

Front

Which triangle congruence rule is not valid?

Back

The SSA (Side-Side-Angle) rule is not a valid test for triangle congruence, as it does not guarantee that the triangles are congruent.

Front

List the five ways to prove triangles congruent.

Back

The five ways to prove triangles congruent are SSS, SAS, ASA, AAS, and HL.

Front

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

Back

If two triangles have two angles equal, the third angle will also be equal, and the triangles are similar, but not necessarily congruent unless a side is also known.

Front

What is the significance of the included angle in SAS?

Back

In SAS, the included angle is the angle between the two sides being compared, and it is crucial for establishing congruence.

Front

Can two triangles be congruent if they have two sides and a non-included angle equal?

Back

No, two triangles cannot be guaranteed to be congruent if they have two sides and a non-included angle equal (SSA).