1.

Prove with reason that in a parallelogram -(i) each diagonal divides it into congruent triangles;(ii) the lengths of opposite sides are equal and(iii) the opposite angles are equal in magnitude.​

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ANSWER:

  • The opposite ANGLES of a PARALLELOGRAM are EQUAL (and conversely: if the opposite angles of a quadrilateral are equal, it is a parallelogram). The DIAGONALS of a parallelogram bisect each other (and conversely: if the diagonals of a quadrilateral bisect each other, it is a parallelogram).

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