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In the isosceles Prove that ABDE Is a parallelogram

Prove that ABDE is a parallelogram and prove that if the altitudes on AC from d and b are egual,then AC bisects bd

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Without a diagram or additional description, we cannot define the location of altitude line AC, or points b and d, since C is not part of the parallelogram. 

Can you provide a picture of the figure in the question?