Beginning Proofs

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 property states that something is congruent to itself?

• Symmetry Property

• Congruence Property

• Reflexive Property

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Reflexive Property of Equality
• Symmetric Property of Equality
• Symmetric Property of Congruence
• Reflexive Property of Congruence

Name the property of equality or congruence that justifies going from the first statement to the second statement.

• Associative Property
• Commutative Property
• Distributive Property
• Combine Like Terms

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the REASON for Statement #2?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

Tags

CCSS.HSG.CO.C.9

What is the REASON for Statement #3?

• Given
• Definition of Complementary Angles
• Substitution Property
• Reflexive Property of Congruence

What is the REASON for Statement #5?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the REASON for Statement #6?

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB
• ∡AED≅∡BEC
• DE=CE
• ∡AED≅∡CED

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.B.7

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.B.5