segment and angle proofs

Given: m<A=m<B and m<B=m<C
Prove: m<A=m<C

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality 
• Substitution

Tags

CCSS.HSG.SRT.B.5

Given: the picture
Prove: m<APC=m<DPB

• Corresponding Angle Posulate
• Vertical Angle Theorem
• Definition of Congruent Angles
• Linear Pair Theorem

Tags

CCSS.7.G.B.5

Given: Ray BD bisects <ABC.

Prove: m<ABD=m<DBC

• Definition of Segment Bisector

• Definition of Congruent Angles

• Angle Addition Postulate

• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.9

Given: m<1+m<2=180 degrees
Prove: <1 and <2 are supplementary

• Congruent Supplements Theorem
• Linear Pair Theorem
• Definition of Complementary Angles
• Definition of Supplementary Angles

Tags

CCSS.7.G.B.5

Given: AB=AB
Prove: AB=AB

• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality
• Substitution

Tags

CCSS.HSG.SRT.B.5

Given: the picture
Prove: m<AOB+m<BOC=m<AOC

• Definition of Angle Bisector
• Segment Addition Postulate
• Angle Addition Postulate
• Definition of Congruent Angles

Tags

CCSS.4.MD.C.7

What is the justification (reason)?

• Reflexive Property
• Transitive Property

Tags

CCSS.HSG.CO.C.9

What is the justification (reason)?

• reflexive property
• definition of segment bisect
• definition of a midpoint

Tags

CCSS.HSG.CO.A.1

If M is the midpoint of AB, then AM = MB

• Addition Property
• Definition of Midpoint 

Tags

CCSS.HSG.CO.A.1

What is the reason?

• Definition of congruence
• Definition of Angle

Tags

CCSS.HSG.CO.A.1