6.1 Properties, Theorems and Postulates

If ∠1 and ∠2 are supplementary,
then m∠1 + m∠2 = 180°.

• Definition of Supplementary Angles
• Angle Addition Postulate
• Vertical Angles Theorem
• Definition of Complementary Angles

Tags

CCSS.7.G.B.5

If ∠1 = ∠2 and ∠2 = ∠3, then ∠1 = ∠3.

• Addition Property of Equality
• Symmetric Property of Equality
• Reflexive Property of Equality
• Transitive Property of Equality

Tags

CCSS.HSG.SRT.B.5

If ∠BAT and ∠MAN are vertical angles,
then ∠BAT ≅ ∠MAN.

• Vertical Angles Theorem
• Definition of Congruent Angles
• Angle Addition Postulate

Tags

CCSS.7.G.B.5

State the proof reason, given: If AB=BC and BC=CD, then AB=CD

• Segment Addition Postulate

• Transitive Property

• Reflexive Property

• Subtraction Property of Equality

Tags

CCSS.HSG.SRT.B.5

What does a proof always start with?

• Theorems

• Given Statement(s)

• Postulates

• Reasons

Tags

CCSS.8.G.A.5

What property states that something is congruent to itself?

• Symmetry Property

• Congruence Property

• Reflexive Property

Tags

CCSS.8.G.A.2

If ∠CAT is a right angle, then m∠CAT = 90° because...

• Definition of Right Angle

• Definition of Congruent Angles

• Angle Addition Postulate

• Segment Addition Postulate

Tags

CCSS.7.G.B.5

If <1 and <2 are complementary, then m<1 + m<2 = 90

• Addition POE
• Subtraction POE
• Def of right angle
• Def of Complementary Angles

Tags

CCSS.7.G.B.5

In a geometric proof, reasons on the _____ side

• Left

• Right

• transative

• POE

In a geometric proof, statements go on the ____ side

• left

• right

• transative

• POE

Tags

CCSS.8.G.A.5