Fill in the missing reasons to complete the proof.
Given: VUY = UWT = X
Prove: UW = UT

Statement | Reason
VUY = X | Given
UW || XY | Converse of the Corresponding Angle Postulate
T = VUY | ?
VUY = UWT | Given
T = UWT | Transitive Property
UT = UW | ?

Question

Fill in the missing reasons to complete the proof.
Given: VUY = UWT = X
Prove: UW = UT

Statement                |  Reason
VUY = X                   |  Given
UW || XY                   |  Converse of the Corresponding Angle Postulate
T = VUY                   |   ?
VUY = UWT              |   Given
T = UWT                  |   Transitive Property
UT = UW                  |    ?

anonymous · Answer

attachment

anonymous · Answer

Can someone please help?

ikram002p · Answer

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ikram002p · Answer

now why T = VUY  ?
note that UW || XY
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anonymous · Answer

I have to find the reason that makes this statement true. I just don't know what the reasoning behind T = VUY is or UT = UW.

ikram002p · Answer

T = VUY corresponding angles

ikram002p · Answer

btw im not convinced that  UW = UT we only have AAA similarity
no sides congruent how is that would be possible ?

@ganeshie8 
@dan815

anonymous · Answer

After this one could you possibly explain this one too?

Prove using coordinate geometry: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment.  
  
  
Given: Line l is the perpendicular bisector of CD.  
Prove: Point R(a, b) is equidistant from points C and D.  
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