Congruent Triangle Proofs

Front

What is the Reflexive Property?

Back

The Reflexive Property states that any geometric figure is congruent to itself. For example, if triangle ABC is considered, then AB ≅ AB.

Front

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

Back

The SAS Postulate states that 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 is the SSS (Side-Side-Side) Congruence Postulate?

Back

The SSS Postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the two triangles are congruent.

Front

What are the two columns labeled in a proof?

Back

Statements / Reasons.

Front

What is the purpose of a segment bisector?

Back

A segment bisector is a line, ray, or segment that divides another segment into two equal parts.

Front

What does it mean for two angles to be congruent?

Back

Two angles are congruent if they have the same measure.

Front

What is the Transitive Property in geometry?

Back

The Transitive Property states that if one quantity is equal to a second quantity, and the second quantity is equal to a third quantity, then the first quantity is equal to the third.

Front

How can you prove triangles are congruent using the Reflexive Property?

Back

If two triangles share a side, that side is congruent to itself, allowing the use of the Reflexive Property in proofs.

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 must be congruent for the triangles to be proven congruent.

Front

What is a proof in geometry?

Back

A proof is a logical argument that uses definitions, properties, and previously proven statements to show that a conclusion is true.