1. Prove that “If the diagonals …
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1. Prove that “If the diagonals of a quadrilateral bisect each other, then it is a
parallelogram.”
2. Prove that “: If in a quadrilateral, each pair of opposite angles is equal, then it is a
parallelogram.”
3. E and F are points on diagonal AC of a parallelogram ABCD such that AE = CF.
Show that BFDE is a parallelogram.
4. ABCD is a rhombus in which altitude from D to side AB bisects AB. Find the
angles of the rhombus.
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Gaurav Seth 5 years, 1 month ago
Prove that if the diagonals of a quadrilateral bisect each other, then it is a parallelogram.
</div> <div class="qsnDetails" style="margin:0px; padding:0px">
</div> <div class="expertBlock" style="margin:0px; padding:0px">OA = OC and OB = OD [Given]
Therefore
ABO = 
CDO (cpct)
From this, we get AB||CD ...(i)
Similarly BC||AD ...(ii)
From (i) and (ii) ABCD is a ||gm.
<div class="qsnDetails" style="margin:0px; padding:0px; text-align:start; -webkit-text-stroke-width:0px"> </div> </div>0Thank You