Congruent Triangles SSS and SAS

Front

What does SSS stand for in triangle congruence?

Back

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

Front

What does SAS stand for in triangle congruence?

Back

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

Front

What is the definition of congruent triangles?

Back

Congruent triangles are triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

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

Back

No, two triangles cannot be determined to be congruent with only one side known to be equal; additional information is needed.

Front

What is the significance of the included angle in the SAS postulate?

Back

The included angle is crucial in the SAS postulate because it must be between the two sides being compared for the triangles to be congruent.

Front

If two triangles have two pairs of equal sides but no equal angles, are they congruent?

Back

No, they are not necessarily congruent; the angles must also be considered.

Front

What is the ASA postulate?

Back

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

Front

What does it mean if triangles are not congruent?

Back

If triangles are not congruent, it means they do not have the same shape and size; their corresponding sides and angles are not equal.

Front

What is the definition of the term 'included angle'?

Back

The included angle is the angle formed between two sides of a triangle.

Front

Can the SSS postulate be used if only two sides and a non-included angle are known?

Back

No, the SSS postulate requires all three sides to be known; two sides and a non-included angle do not provide enough information.