Triangle Congruence 2

Front

What does the SSS postulate state?

Back

The SSS (Side-Side-Side) postulate states that if three sides of one triangle are equal to three sides of another triangle, then the two triangles are congruent.

Front

What does the SAS postulate state?

Back

The SAS (Side-Angle-Side) postulate states that 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 does the ASA postulate state?

Back

The ASA (Angle-Side-Angle) 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 two triangles are congruent.

Front

What does the AAS postulate state?

Back

The AAS (Angle-Angle-Side) postulate 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 two triangles are congruent.

Front

What is the SSA condition in triangle congruence?

Back

The SSA (Side-Side-Angle) condition does not guarantee triangle congruence, as it can lead to ambiguous cases.

Front

How can you prove triangles are congruent using the SSS postulate?

Back

To prove triangles are congruent using the SSS postulate, show that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using the SAS postulate?

Back

To prove triangles are congruent using the SAS postulate, show that two sides and the included angle of one triangle are equal to the corresponding parts of another triangle.

Front

How can you prove triangles are congruent using the ASA postulate?

Back

To prove triangles are congruent using the ASA postulate, show that two angles and the included side of one triangle are equal to the corresponding parts of another triangle.

Front

How can you prove triangles are congruent using the AAS postulate?

Back

To prove triangles are congruent using the AAS postulate, show that two angles and a non-included side of one triangle are equal to the corresponding parts of another triangle.

Front

What is the importance of congruence in triangles?

Back

Congruence in triangles is important because it allows us to establish that two triangles are identical in shape and size, which is fundamental in geometry.