Question 656720: Given: LOVE is a square
Prove: Diagonals bisect each other
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Construct the two diagonals and label the point of intersection C.
Since it is a square, LO congruent LE. Since angle OLE is right (defn square), Triangle OLE is an isosceles right triangle. So angles LEO and LOE are 45 degree angles. Similarly, angles VLE, LVE, OEV, etc. are all 45 degree angles. So triangles LCE, ECV, VCO, and OCL are all congruent. Hence LC congruent CV and OC congruent CE by CPCT. QED.
You can write this out as a formal proof on your own.
John
My calculator said it, I believe it, that settles it
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