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GEO: 2-6 QC (geometric proof)
Συνεισφορά από: Maynard
(Αρχικός συντάκτης: Scott)
1.  What is the correct reason for statement #2?

1.  ∡DEF ≅ ∡FEG

2.  EF bisects ∡DEG

Def. of angle trisector
Angle Addition Prop.
 E
     D
F
Def. of congruence
Def. of bisect
G

1.  Given

2.  __?__

2. What is the correct missing reason for the statement?
Segment  Addition Post.
Angle Addition Post.
1.  m∡DEF + m∡FEG = m∡DEG
 E
     D
F

Addition Prop =

Def. of angle bisector
G
1.  ____?_____
3. What is the correct reason for statement #2?
Def. of midpoint
Def. of between

1.  Q is the midpoint of PR

2.  PQ ≅ QR

P                       Q                     R
Def. of segment bisector
Def. of congruence
T

1. Given

2.  ___?___

4. What is the correct reason for statement #2?
Def. of midpoint
Def. of between

1.  PQ ≅ QR

2.  QT bisects PR

P                       Q                     R
Def. of segment bisector
Def. of congruence
T

1. Given

2.  ___?___

5. What is the correct reason for statement #3?

Def. of right angle

Def. of congruence

1.  ∡D is a right angle

2.  ∡E is a right angle

3.  ∡D ≅ ∡E

D
 E
Substitution
Right angle congruence    theorem

1.  Given

2.  Given

3.  __?__

7. What is the correct reason for statement #3?
Def. of congruence

Def. of right angle

1.  m∡D =90

2.  m∡E =90

3.  m∡D = m∡E

D
E

1.  Given

2.  Given

3.  __?__

Right angles thrm
Substitution
 8. What is the missing justification for statement #3?

1.  m∡HED = 40

2.  m∡HED + m∡DEF = m∡HEF

3.   40 + m∡DEF = m∡HEF

  Angle Addition Prop

  Addition Prop =
 E
H
     D
F
Substitution
Def. of congruence
G

1.  Given

2.  ___?_____

3.  ___?_____

9. What is the correct reason for statement #2?

1.  AB = EF

2.  AB + BC = AC

3.  EF + BC = AC

Addition prop =

Substitution
E                F
A               B                                        C
Def. of congruence
Segment Addition Prop.

1.  Given

2.  __?__

3.  __?__

10. What is the correct reason for statement #3?

1.  AB = EF

2.  AB + BC = AC

3.  EF + BC = AC

Addition Prop =

Substitution
E                F
A               B                                        C
Def. of congruence
Segment Addition Prop

1.  Given

2.  __?__

3.  __?__

11. What is the correct reason for statement #3?

1.  VW ≅ WX

2.  WX ≅ XY

3.  VW ≅ XY

Def. of congruence

 Transitive Prop ≅

V                    W                  X                    Y

1.  Given

2.  Given

3.  __?__

Substitution
Segment Addition Prop
12.  What is the justification for step #2?
Definition of =
Definition of ≅
1.  m∡ABC = m∡XYZ            1. Given2. ∡ABC ≅ ∡XYZ                   2.  ???
Symmetry Prop ≅
Reflexive Prop =
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