Geometry Proofs, Theorems, Postulates, and Properties

Front

What is the Reflexive Property of Equality?

Back

For any number a, it is true that a = a. This property states that any quantity is equal to itself.

Front

What is the Symmetric Property of Equality?

Back

If a = b, then b = a. This property allows us to switch the sides of an equation.

Front

What is the Transitive Property of Equality?

Back

If a = b and b = c, then a = c. This property allows us to link equalities.

Front

What is the Angle Congruence Postulate?

Back

If two angles have the same measure, then they are congruent.

Front

What is the Segment Congruence Postulate?

Back

If two segments have the same length, then they are congruent.

Front

What is the Segment Addition Postulate?

Back

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

Front

What is the Angle Addition Postulate?

Back

If point D is in the interior of angle ABC, then m∠ABD + m∠DBC = m∠ABC.

Front

What is the definition of congruent angles?

Back

Two angles are congruent if they have the same measure.

Front

What is the definition of congruent segments?

Back

Two segments are congruent if they have the same length.

Front

What is the definition of a theorem in geometry?

Back

A theorem is a statement that has been proven based on previously established statements, such as other theorems, and axioms.