Prove Theorems Angles Segments

Fill in the reason for number 5. 

• Definition of congruent angles
• Angle Addition Postulate
• Substitution Property
• Transitive Property

Fill in the reason for number 3. 

• Angle Addition Postulate
• Addition Property
• Definition of congruent angles
• Given

Fill in the reason for number 3. 

• Angle Addition Postulate
• Addition Property
• Definition of congruent angles
• Given

Fill in the statement for number 4. 

• m<ABC = m<1 + m<2 ; m<EFG = m<3 + m<4
• m<ABC = m<1 + m<4 ; m<EFG = m<3 + m<2
• <ABC= <1+ <2 ;   <EFG=  <3+ <4
• <ABC = <1 + <4 ;  <EFG =  <3 +  <2

Fill in the reason for number 5. 

• Addition Property
• Substitution
• Subtraction Property
• Transitiive

Fill in the reason for number 3. 

• Reflexive property
• Symmetric Property
• Transitive property
• Substitution property

Fill in the reason for 5. 

• Addition Postulate
• Substitution property
• Definition of midpoint
• Segment Addition Postulate

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

• <ORP is a right angle

• QR + RP = QP

• <ORQ and <ORP are complementary

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