SSS and SAS Proofs

Front

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

Back

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

Front

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

Back

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

Front

What does the Reflexive Property state?

Back

Any geometric figure is congruent to itself. For example, AB ≅ AB.

Front

What is the Transitive Property of Congruence?

Back

If figure A is congruent to figure B, and figure B is congruent to figure C, then figure A is congruent to figure C.

Front

What does it mean for angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of congruent triangles?

Back

Triangles that are identical in shape and size, meaning all corresponding sides and angles are equal.

Front

How can you prove triangles are congruent using SSS?

Back

By showing that all three corresponding sides of the triangles are equal in length.

Front

How can you prove triangles are congruent using SAS?

Back

By showing that two sides and the angle between them in one triangle are equal to the corresponding parts in another triangle.

Front

What is the significance of the included angle in SAS?

Back

The included angle is the angle formed between the two sides being compared; it must be the angle between the two sides for SAS to apply.

Front

What is a common mistake when using SSS or SAS?

Back

Assuming triangles are congruent without verifying that all corresponding sides and angles meet the criteria.