Triangle Congruence SSS, SAS, ASA

Front

What does SSS stand for in triangle congruence?

Back

SSS stands for Side-Side-Side, a postulate stating that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a postulate stating that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

Front

What does ASA stand for in triangle congruence?

Back

ASA stands for Angle-Side-Angle, a postulate stating that if two angles and the included side of one triangle are equal to two angles and the included side of another triangle, the triangles are congruent.

Front

What is the congruence statement for triangles ∆EHG and ∆KFC if EG≅KC?

Back

The congruence statement is ∆EHG≅∆KFC.

Front

If two triangles have sides of lengths 5, 7, and 10, and another triangle has sides of lengths 5, 7, and 10, what can be concluded?

Back

The two triangles are congruent by the SSS postulate.

Front

If two triangles have two sides of equal length and the angle between them is equal, what postulate can be used to prove congruence?

Back

The SAS postulate can be used to prove congruence.

Front

If two triangles have two angles of equal measure and the side between them is equal, what postulate can be used to prove congruence?

Back

The ASA postulate can be used to prove congruence.

Front

What is the significance of congruent triangles in geometry?

Back

Congruent triangles have the same size and shape, which means their corresponding sides and angles are equal.

Front

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

Back

No, at least two sides and the included angle or two angles and the included side must be known to prove congruence.

Front

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

Back

If two triangles are congruent, then their corresponding parts (sides and angles) are also congruent.