Congruent Triangles SSS and 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 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 (SAS) or all three sides (SSS) must be known to determine congruence.

Front

What is the importance of the included angle in SAS?

Back

In SAS, the included angle is crucial because it ensures that the two sides are positioned correctly relative to each other, which is necessary for congruence.

Front

If two triangles have two equal angles and one equal side, are they congruent?

Back

No, this is not sufficient for congruence; you need either SSS or SAS to establish congruence.

Front

What is the difference between SSS and SAS?

Back

SSS requires all three sides to be equal, while SAS requires two sides and the angle between them to be equal.

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

Can triangles be congruent if they have the same angles but different side lengths?

Back

No, triangles with the same angles must also have the same side lengths to be congruent.

Front

What is the Not Possible option in triangle congruence?

Back

The Not Possible option indicates that the given information does not provide enough evidence to conclude that the triangles are congruent.