Unit 5 Congruent Triangles

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 does ASA stand for in triangle congruence?

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 AAS stand for in triangle congruence?

Back

AAS stands for Angle-Angle-Side, a postulate that states if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side 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?

Back

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

Front

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

Back

SAS (Side-Angle-Side) postulate.

Front

If two triangles have three sides of equal length, what postulate can be used to prove congruence?

Back

SSS (Side-Side-Side) postulate.

Front

If two triangles have two angles and the non-included side equal, what postulate can be used to prove congruence?

Back

AAS (Angle-Angle-Side) postulate.

Front

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

Back

The included angle is the angle formed between the two sides being compared; it is crucial for establishing congruence.