8th Review for Flashcard 4 proofs

Front

What does it mean for two triangles to be congruent?

Back

Two triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.

Front

What is the SAS (Side-Angle-Side) congruence criterion?

Back

The SAS criterion 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 triangles are congruent.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts are the sides and angles of two triangles that are in the same relative position.

Front

What is the significance of the congruence statement in triangle proofs?

Back

The congruence statement indicates which triangles are congruent and helps in identifying corresponding parts.

Front

What is the definition of an angle?

Back

An angle is formed by two rays with a common endpoint, called the vertex.

Front

What does the term 'proof' mean in geometry?

Back

A proof is a logical argument that uses definitions, properties, and previously proven statements to demonstrate the truth of a geometric statement.

Front

What is the definition of a triangle?

Back

A triangle is a polygon with three edges and three vertices.

Front

What is the importance of additional information in triangle congruence?

Back

Additional information may be required to establish congruence using specific criteria like SAS, SSS, or ASA.

Front

What does the term 'included angle' refer to in triangle congruence?

Back

The included angle is the angle formed between two sides of a triangle.

Front

What is the definition of vertical angles?

Back

Vertical angles are the angles opposite each other when two lines intersect; they are always equal.