ASA, AAS, HL Practice

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

How can you prove triangles are congruent using ASA?

Back

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

Front

How can you prove triangles are congruent using AAS?

Back

To prove triangles are congruent using AAS, you need to show that 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

How can you prove triangles are congruent using HL?

Back

To prove triangles are congruent using HL, you need to show that the hypotenuse and one leg of one right triangle are equal to the hypotenuse and one leg of another right triangle.

Front

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

Back

If two triangles have two angles equal, the sides opposite those angles are also proportional, and the triangles are similar.

Front

What is the relationship between congruent triangles and their corresponding parts?

Back

In congruent triangles, all corresponding parts (sides and angles) are equal.

Front

What is the significance of the included side in ASA?

Back

The included side in ASA is the side that is between the two angles being considered; it is crucial for establishing congruence.

Front

Can AAS be used to prove triangle congruence without knowing the included side?

Back

Yes, AAS can be used to prove triangle congruence without knowing the included side, as it relies on two angles and a non-included side.