6-2 Properties of Parallelograms

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I can list the five properties of parallelograms.
I can use the properties of a parallelogram to determine requested values.
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It would also be great if you explained problem 2 "using properties of parallelograms in a proof"

abdullahhobrom
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Umm, I think you left out two properties, which are the "diagonals bisect eachother" and the other one which is a bit complex, mind doing those please?

abdullahhobrom