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Show that the diagonals of a square are ...

Show that the diagonals of a square are equal and right bisectors of each other.

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Using vector method show that the diagonals of a parallelogram bisect each other.

Given statements in (a) and (b). Identify the statements given below as contrapositive or converse of each other. (b) If a quadrilateral is a parallelogram, then its diagonals bisect each other. (i) If the diagonals of a quadrilateral do not bisect each other, then the quadrilateral is not a parallelogram. (ii) If the diagonals of a quadrilateral bisect each other, then it is a parallelogram.

Knowledge Check

  • if the diagonals of quadrilat eral are equal and bisect each, other, the quadrilateral is

    A
    rectangle
    B
    parallelogram
    C
    rhombus
    D
    None of those

  • If the diagonals of quadrilateral are equal bisects each other at right angles, the quadrilateral be

    A
    square
    B
    Rectangle
    C
    Trapezium
    D
    Rhombus

    • Similar Questions

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    In the quadrilateral ABCD, the diagonals AC and BD are equal and perpendicular to each other. What type of a quadrilateral is ABCD?

    prove that the diagonals of a rhombus are perpendicular to each other.

    Show that the diagonals of a parallelogram divide it into four triangles of equal area.

    Find " If - then implications " of the following converse statements : If the diagonals of a quadrilateral bisect each other , then it is a parallelogram .

    Prove that if the two diagonals of any parallelogram intersect each other orthogonally, then the parallelogram is a rhombus.

    Prove that if the lengths of two diagonals of any parallelogram be equal and if the diagonals intersect each other orthogonally, then the parallelogram is a square.

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