4-4 and 4-5 -- ASA, AAS, & HL

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a criterion for triangle congruence where two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

What does AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a criterion for triangle congruence where two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

What does HL stand for in triangle congruence?

Back

HL stands for Hypotenuse-Leg, a criterion for triangle congruence applicable to right triangles, where the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

When can you use the ASA criterion?

Back

You can use the ASA criterion when you know two angles and the included side of one triangle are equal to two angles and the included side of another triangle.

Front

When can you use the AAS criterion?

Back

You can use the AAS criterion when you know two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle.

Front

When can you use the HL criterion?

Back

You can use the HL criterion when you are dealing with right triangles and you know the lengths of the hypotenuse and one leg of one triangle are equal to the hypotenuse and one leg of another triangle.

Front

What is the difference between ASA and AAS?

Back

The difference is that ASA includes the side between the two angles, while AAS includes a side that is not between the two angles.

Front

Can you prove triangle congruence with only two sides?

Back

No, you need at least one angle or a third side to prove triangle congruence.

Front

What is the SSS criterion?

Back

SSS stands for Side-Side-Side, a criterion for triangle congruence where all three sides of one triangle are equal to all three sides of another triangle.

Front

What is the SAS criterion?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence where two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle.