Triangle Congruence Postulates

Front

What does SAS stand for in triangle congruence postulates?

Back

SAS stands for Side-Angle-Side, which states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the HL theorem in triangle congruence?

Back

The HL theorem stands for Hypotenuse-Leg theorem, which states that if the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the two triangles are congruent.

Front

What does AAS stand for in triangle congruence postulates?

Back

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

Front

What is the significance of congruence in triangles?

Back

Congruence in triangles means that the triangles have the same size and shape, which implies that all corresponding sides and angles are equal.

Front

What additional information is needed to prove triangles are congruent by SAS?

Back

To prove triangles are congruent by SAS, you need to know the lengths of two sides and the measure of the included angle.

Front

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

Back

No, knowing only one side is not sufficient to prove triangle congruence; additional information about angles or other sides is required.

Front

What is the difference between congruence and similarity in triangles?

Back

Congruence means that triangles are identical in size and shape, while similarity means that triangles have the same shape but may differ in size.

Front

What is the purpose of triangle congruence postulates?

Back

Triangle congruence postulates are used to determine whether two triangles are congruent based on their sides and angles.

Front

What does the term 'not necessarily congruent' imply in triangle congruence?

Back

'Not necessarily congruent' implies that having certain equal sides or angles does not guarantee that the triangles are congruent without additional information.

Front

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

Back

The SSS postulate states that if all three sides of one triangle are congruent to all three sides of another triangle, then the two triangles are congruent.