SOLUTION: Given: LV is perpendicular to OE; X is the midpoint of OE Prove: OV is congruent to VE

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Question 251104: Given: LV is perpendicular to OE; X is the midpoint of OE
Prove: OV is congruent to VE

Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
Is there a figure/drawing to go with this?

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I'm just guessing because your description isn't very clear, but I think your diagram is a kite shape with LV and OE as diagonals that intersect at X. Proceeding on that assumption:

XV = XV Reflexive equality

angle OXV congruent angle EXV (both are right angles from given that LV perpendicular to OE)

OX = XE definition of mid-point

triangle OXV congruent to triangle EXV by SAS

OV congruent to VE by CPCT QED

John