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In a parallelogram, opposite side are eq...

In a parallelogram, opposite side are equal

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In parallelogram `ABCD`, Consider,
`AD || BC` and `AB` is transversal
`/_A + /_B = 180` [Co – int. Angles]
...
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The vertices of a quad. PMQS are P(0, 0), M(3, 2), Q(7, 7) and S(4, 5). Show that PMQS is a parallelogram. opposite sides are parallel.

Which of the following is not true for a parallelogram ? a) Opposite sides are equal b) Opposite angles are equal c) Opposite angles are bisected by the diagonals d) Diagonals bisect each other

Knowledge Check

  • Four particles of masses m, 2m, 3m and 4m are arranged at the corners of a parallelogram with each side equal to a and one of the angle between two adjacent sides is 60^(@) . The parallelogram lies in the x-y plane with mass m at the origin and 4 m on the x-axis. The centre of mass of the arrangement will be located at

    A
    `(sqrt3/2a, 0.95a)`
    B
    `(0.95a, sqrt3/4a)`
    C
    `((3a)/4,a/2)`
    D
    `(a/2,(3a)/4)`

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    A quadrilateral is a parallelogram if its opposite sides are equal.

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    Prove that of all parallelograms of which the sides are given, the parallelogram which is rectangle has the greatest area.

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