Proving Triangles SSS and SAS Congruent (Section 4-4)

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 have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the significance of corresponding angles in triangle congruence?

Back

Corresponding angles are angles that are in the same position in different triangles. For triangles to be congruent, their corresponding angles must be equal.

Front

What is the significance of corresponding sides in triangle congruence?

Back

Corresponding sides are sides that are in the same position in different triangles. For triangles to be congruent, their corresponding sides must be equal.

Front

What is the missing congruence needed to prove triangles congruent using SAS if two sides and the included angle are known?

Back

The missing congruence is the third side.

Front

What is the missing congruence needed to prove triangles congruent using SSS if all three sides are known?

Back

There is no missing congruence; all three sides must be equal.

Front

Can two triangles be congruent if only one angle and two non-included sides are known?

Back

No, this is known as the SSA condition, which does not guarantee triangle congruence.

Front

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

Back

ASA 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

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

Back

AAS states that 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.