2. Introduction to Proofs

Given: <1 and <3 are vertical angles. What should you conclude by the vertical angles theorem?

• <1 and <2 are a linear pair

• <1 and <3 are right angles

• <2 and <4 are vertical angles

•  $<1\cong<3$  

Tags

CCSS.7.G.B.5

Given: B is the midpoint of AC. What should you conclude?

• AB + BC = AC

• AB = BC

• A is the segment bisector of BC

• ABC is a straight angle

Tags

CCSS.HSG.CO.C.10

If an angle is a straight angle, then its measure is $180\degree$ 

 Given:  <ABC is a straight angle.
What conclusion can you draw?

• <ABC is not an acute angle

• <ABC is supplementary to another angle

• m<ABC = $180\degree$  

• <ABC is a straight angle

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

Given: PL is the angle bisector of <RPQ

What can you conclude by definition of angle bisector?

• m<RPL = m<LPQ

• <RPL + m<LPQ = m<RPQ

• <RPQ is acute

• m<RPQ = 90

Tags

CCSS.HSG.CO.C.9

What is the justification?

• Symmetric Prop.
• Angle addition postulate
• Reflexive Prop
• Transitive Prop.

Tags

CCSS.8.G.A.2

What is the missing statement in the proof?

• Addition property

• Segment Addition Postulate

• Substitution property

• Transitive property

Tags

CCSS.HSG.CO.C.9

What is the reason?

• Definition of Complementary
• Definition of 180 
• Definition of supplementary
• Angle Addition

Tags

CCSS.7.G.B.5

What is the reason?

• Transitive 
• Substitution
• Middle Man
• Replacing 

Tags

CCSS.HSA.REI.C.5

What is the REASON for Statement #1?

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

Tags

CCSS.7.G.B.5

What is the REASON for Statement #2?

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

Tags

CCSS.7.G.B.5