abcd is a square?prove that the diagonals bisect the interior angles


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Summary
In a polygon of 'n' sides, the sum of the interior angles is equal to (2n - 4) right angles. Each interior angle of a regular polygon is If the sides of a convex polygon are produced, in order, the sum of the exterior angles is 4..
Parallelogram
A parallelogram has its opposite pairs of sides parallel. Its other properties are: (i) The opposite sides are equal. (ii) The opposite angles are equal. (iii) The diagonals bisect each other. In the figure above, the perpendicular AL to DC has been drawn. AL is cal..
Proof:
AB||CD (by definition of parallelogram) AC is a transversal. (alternate angles are equal in a parallelogram) Also AB=DC (opposite sides are equal in a parallelogram) Now in D AOB and D COD, AB=DC (opposite sides of parallelogram are equal) (proved by (i)) D AOB D COD (..
Result Pages   :     1


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