Triangle Congruence

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 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

What does SAS stand for in triangle congruence?

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.

Front

What does SSS stand for in triangle congruence?

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 significance of triangle congruence in geometry?

Back

Triangle congruence is significant because it allows us to determine that two triangles are identical in shape and size, which is fundamental in proving other geometric properties.

Front

How can you prove two triangles are congruent using the SSS criterion?

Back

To prove two triangles are congruent using the SSS criterion, you must show that all three corresponding sides of one triangle are equal to the three corresponding sides of the other triangle.

Front

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

Back

If two triangles are congruent, then their corresponding angles are also equal.

Front

Can two triangles be congruent if only one side is equal?

Back

No, two triangles cannot be congruent if only one side is equal; at least two sides and the included angle or other congruence criteria must be satisfied.

Front

What is the difference between ASA and AAS in triangle congruence?

Back

ASA (Angle-Side-Angle) requires two angles and the included side to be equal, while AAS (Angle-Angle-Side) requires two angles and a non-included side to be equal.

Front

What is the importance of the included angle in the SAS criterion?

Back

The included angle in the SAS criterion is important because it ensures that the two sides are connected, which is necessary for establishing congruence.