SSS SAS Warmup

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 theorem 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 triangle congruence?

Back

Triangle congruence means that two triangles are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

What is the criteria for using the SSS postulate?

Back

The SSS postulate can be used when all three sides of one triangle are known to be equal to the three sides of another triangle.

Front

What is the criteria for using the SAS theorem?

Back

The SAS theorem can be used when two sides and the angle between them in one triangle are known to be equal to two sides and the angle between them in another triangle.

Front

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

Back

No, knowing only one side is not sufficient to prove triangle congruence; at least two sides and the included angle or all three sides must be known.

Front

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

Back

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

Front

What is the definition of an angle in geometry?

Back

An angle is formed by two rays (sides) that share a common endpoint (vertex) and is measured in degrees.

Front

What is the difference between congruence and similarity in triangles?

Back

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

Front

What is the Angle-Side-Angle (ASA) theorem?

Back

The ASA theorem states that if two angles and the side between them in one triangle are equal to two angles and the side between them in another triangle, then the triangles are congruent.