Segment and Angle Proofs

Fill in the reason for number 2. 

• Definition of congruent angles

• Complement Theorem

• Congruent Complement theorm

• Congruent Supplement Theorem

Tags

CCSS.HSG.SRT.C.7

Fill in the reason for number 5. 

• Definition of congruent angles

• Angle Addition Postulate

• Substitution Property

• Transitive Property

Tags

CCSS.7.G.B.5

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

Tags

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Fill in the reason for number 5. 

• Addition Property

• Substitution

• Subtraction Property

• Transitiive

Tags

CCSS.HSG.CO.B.8

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

Fill in the statement for number 3. 

• HA = AY

• HA = AP

• A is the midpoint of HP

Tags

CCSS.HSG.CO.B.6

CCSS.HSG.CO.C.10

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property

Tags

CCSS.HSG.SRT.B.5

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments

• Definition of Midpoint

• Vertical Angles Theorem

• Definition of Angle Bisector

Tags

CCSS.HSG.CO.C.10

If ∠A and ∠B are complementary,
then m∠A + m∠B = 90°.

• Definition of Supplementary Angles

• Angle Addition Postulate

• Definition of Right Angle

• Definition of Complementary Angles

Tags

CCSS.HSG.CO.A.1

If AC ⊥ BD, then ∠DBC is a right angle.

• Definition of Perpendicular Lines

• Definition of Right Angle

• Angle Addition Postulate

• Segment Addition Postulate

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.9

Given: <1 and <2 are supplementary. What can you conclude?

• m<1 + m<2 = 180

• m<1 + m<2 = 90

• m<1 = m<2

• nothing

Tags

CCSS.HSG.CO.C.9