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

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

Back

The SAS (Side-Angle-Side) postulate can be used to prove the triangles are congruent.

Front

What is the relationship between the angles and sides in congruent triangles?

Back

In congruent triangles, corresponding angles are equal, and corresponding sides are equal in length.

Front

How can you determine if two triangles are congruent using the SSS postulate?

Back

Measure the lengths of all three sides of both triangles. If all three pairs of sides are equal, the triangles are congruent by the SSS 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 in the SAS postulate.

Front

Can two triangles be congruent if only two angles are known?

Back

No, knowing only two angles is not sufficient to prove congruence; the third angle can be determined, but the sides must also be considered.

Front

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

Back

The ASA postulate states that 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

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.