Triangle Congruency Rules

Front

What is the Side-Side-Side (SSS) Congruence Postulate?

Back

If three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What is the Side-Angle-Side (SAS) Congruence Postulate?

Back

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

Front

What is the Angle-Side-Angle (ASA) Congruence Postulate?

Back

If two angles and the included side of one triangle are equal to two angles and the included side of another triangle, then the two triangles are congruent.

Front

What is the Angle-Angle-Side (AAS) Congruence Postulate?

Back

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 two triangles are congruent.

Front

What does it mean for triangles to be congruent?

Back

Triangles are congruent if they have the same size and shape, meaning their 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 or two angles and a side must be known to determine congruence.

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.

Front

What is the difference between SSA and other congruence postulates?

Back

SSA (Side-Side-Angle) does not guarantee triangle congruence because the angle may not be between the two sides.

Front

What is the criteria for determining if two triangles are not enough information to conclude congruence?

Back

If there is insufficient data (like only one side or angle), it is not possible to determine if the triangles are congruent.

Front

How can you prove two triangles are congruent using SSS?

Back

Measure all three sides of both triangles; if all three pairs of sides are equal, the triangles are congruent.