Provide the reasons for the proof.
4. Provide the reasons for the proof:
Given: Trapezoid RIAG with RI = RG = GA
mI = mNAG
Prove: T  N

Answer:
Statement
Reason
a. RG = GA a. Given
b. Trapezoid RIAG b. Given
c. || c.
d. mTRG = mI d.
e. mI = mNAG e. Given
f. mTRG = mNAG
f. Transitive Property of Equality
g. TGR and NGA are vertical angles. g.Definition of vertical angles
h. mTGR = mNGA h.
i. ∆TGR  ∆NGA i.
j. T  N j.

Question

Provide the reasons for the proof. 
4. Provide the reasons for the proof:
Given:	Trapezoid RIAG with RI = RG = GA
	mI = mNAG
Prove:	T  N

Answer:
Statement
                                                       Reason
a.  RG = GA       a.  Given
b.  Trapezoid RIAG     b.  Given
c.   ||        c.  
d.  mTRG  = mI    d.  
e.  mI  = mNAG    e.  Given
f.  mTRG  = mNAG
f.  Transitive Property of Equality
g.  TGR and NGA are vertical angles.    g.Definition of vertical angles
h.  mTGR  = mNGA     h.  
i.  ∆TGR  ∆NGA     i.  
j.  T  N        j.