SOLUTION: How can I proof this? : Given: X is the midpoint of line segment WY and line segment VZ Prove: VW = ZY

Question 675434: How can I proof this? :
Given: X is the midpoint of line segment WY and line segment VZ
Prove: VW = ZY
Found 2 solutions by vleith, Onmyoji.S:
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Since X is the midpoint, you know WX=XY and VX=XZ (given to you in the problem statement)
When you draw your line segments, label the five points W,X,Y,V and Z
Now also draw line segments WV and ZY.
You now have two triangles.
The angle zxy = wxv since opposite angles are equal.
Given the above, you now have 2 triangles that are congruent using side-angle-side
Since the two triangles are congruent, then the sides opposite the angle x (WV and ZY) must be equal.
Write that down as a series of steps and you have your proof!

Answer by Onmyoji.S(32) (Show Source): You can put this solution on YOUR website!
Given: X is the midpoint of line segment WY and line segment VZ
Prove: VW = ZY
_________❤________________❤_________________❤______________

1)X is the midpoint of line segment WY and line segment VZ
2)segment XZ congruent segment XV, segment XW congruent segment XY
3)angle WXV congruent angle YXZ
4)triangle WXV congruent triangle YXZ
5)VW = ZY
_________❤________________❤_________________❤______________
1】Given
2】Def of midpoint
3】vertical angles Theorm
4】SAS
5】CPCTC
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