SSS & 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 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 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

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

Back

The SAS postulate can be used to prove the triangles are congruent.

Front

If triangle ABC is congruent to triangle DEF, what can be said about their corresponding parts?

Back

The corresponding sides and angles of triangle ABC and triangle DEF are equal.

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 using the SAS postulate.

Front

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

Back

No, at least two sides and the included angle must be equal for the triangles to be congruent using the SAS postulate.

Front

What is the relationship between SSS and SAS postulates?

Back

Both SSS and SAS are methods to prove triangle congruence, but SSS requires all three sides to be equal, while SAS requires two sides and the included angle.

Front

If triangle LMN is congruent to triangle OPQ, what can be inferred about angle L?

Back

Angle L is congruent to angle O.