4th Review for Flashcard 4 proofs

Front

What is the definition of congruence in geometry?

Back

Congruence in geometry means that two figures have the same shape and size, and can be made to coincide by rigid motions (translations, rotations, reflections).

Front

What does SAS stand for in triangle congruence?

Back

SAS stands for Side-Angle-Side, a criterion for triangle congruence that states 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 purpose of a congruence statement?

Back

A congruence statement is used to indicate that two geometric figures are congruent, specifying which parts of the figures correspond to each other.

Front

What is the significance of the included angle in SAS?

Back

The included angle in SAS is the angle formed between the two sides being compared; it is crucial for establishing congruence between two triangles.

Front

What does the symbol '≅' represent?

Back

The symbol '≅' represents congruence, indicating that two geometric figures are congruent.

Front

What is the definition of a proof in geometry?

Back

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

Front

What is the difference between a theorem and a postulate?

Back

A theorem is a statement that has been proven based on previously established statements, while a postulate is a statement accepted as true without proof.

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

What is the definition of corresponding parts in congruent triangles?

Back

Corresponding parts in congruent triangles are the sides and angles that are equal in measure between the two triangles.

Front

What is the definition of an angle bisector?

Back

An angle bisector is a ray that divides an angle into two equal parts.