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 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 the three sides 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 is the criterion for triangle congruence if two angles and a non-included side are known?

Back

The triangles are not necessarily congruent; this is known as the Angle-Angle-Side (AAS) condition, which does not guarantee congruence.

Front

If two triangles have two pairs of equal angles, what can be concluded?

Back

The triangles are congruent by the Angle-Angle (AA) criterion, as the third angle will also be equal.

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, which is crucial for establishing congruence.

Front

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

Back

No, knowing only one side is insufficient to determine congruence; at least two sides and the included angle or two angles and a side must be known.

Front

What does it mean if two triangles are not congruent?

Back

It means that the triangles do not have the same size and shape; their corresponding sides and angles are not equal.

Front

How can you prove that two triangles are congruent using SSS?

Back

By showing that all three sides of one triangle are equal to the three sides of another triangle.