Geometry Proofs, Theorems, Postulates, and Properties

What does a proof always start with?

• Theorems

• Given Statement(s)

• Postulates

• Reasons

What property states that if

a = b and b = c then a = c?

• Equality Property

• Reflexive Property

• Transitive Property

• Associative Property

What does SPOE stand for?

• Subtraction Property of Equality

• Substitution Property of Equality

• Similarity Property of Equality

What property states that something is congruent to itself?

• Symmetry Property

• Congruence Property

• Reflexive Property

What is the difference between a theorem and a postulate?

• A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

• A theorem is a statement that is assumed true without proof while a postulate is a true statement that can be proven.

Why are proofs useful?

• They use logical deductions to prove a statement true.

• They list given statements.

• They show statements.

What are the main parts of a proof?

• The statements and the reasons.

• The given statements(s), the proposition, and the theorems.

• The given statement(s), the proposition, the statement column, the reason column, and the diagram (if one is given).

• The diagram (if one is given), the statements, and the reasons.

What does MPOE mean?

• Multiplication Property of Equality

• Measurement Property of Equality

• Measurement Proportionality of Equilaterals

Tags

CCSS.HSA.REI.A.1

Why are Given Statement(s) Necessary?

• They show you read the question.

• They tell you what your end goal is.

• They list what you know and are necessary to complete a proof.

Tags

CCSS.HSA.REI.A.1