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Question
The following statement are true and false .
If all the angles of a quadrilateral are equal, it is a parallelogram .
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Solution
True
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Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
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In ΔABC and ΔDEF, AB = DE, AB || DE, BC = EF and BC || EF. Vertices A, B and C are joined to vertices D, E and F respectively (see the given figure). Show that
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(v) AC = DF
(vi) ΔABC ≅ ΔDEF.

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PQRS is a quadrilateral, PR and QS intersect each other at O. In which of the following case, PQRS is a parallelogram?
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The diagonals of a parallelogram ABCD intersect at O. If ∠BOC = 90° and ∠BDC = 50°, then ∠OAB =
