Basic Geometric Proofs

Front

What is the Transitive Property in geometry?

Back

If a = b and b = c, then a = c. This property is often used to justify statements in proofs.

Front

What does the Definition of Congruence state?

Back

Two figures are congruent if they have the same shape and size.

Front

What is the Definition of an Angle Bisector?

Back

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

Front

What is the Substitution Property in geometry?

Back

If two values are equal, one can be substituted for the other in an equation or expression.

Front

What does the Segment Addition Postulate state?

Back

If point B is between points A and C, then AB + BC = AC.

Front

What is the purpose of a geometric proof?

Back

To provide a logical argument that demonstrates 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 an accepted statement without proof.

Front

What is the significance of a proof in geometry?

Back

Proofs establish the validity of geometric statements and help in understanding the relationships between different geometric figures.

Front

What is the role of definitions in geometric proofs?

Back

Definitions provide the foundational understanding necessary to construct logical arguments in proofs.

Front

What is a congruence statement?

Back

A statement that indicates two figures are congruent, often written as △ABC ≅ △DEF.