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If the two diagonals of a parallelogram ...

If the two diagonals of a parallelogram are equal, it is a rectangle.

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The diagonals of a parallelograms are equal .

If the diagonals of a parallelogram are equal, then show that it is a rectangle

Knowledge Check

  • Statement 1 : If |veca + vecb| = |veca - vecb| , then veca and vecb are perpendicular to each other. Statement 2 : If the diagonals of a parallelogram are equal in magnitude, then the parallelogram is a rectangle.

    A
    Both the statements are true, and Statement 2 is the correct explanation for Statement 1.
    B
    Both the statements are true, but Statement 2 is not the correct explanation for Statement 1.
    C
    Statement 1 is true and Statement 2 is false.
    D
    Statement 1 is false and Statement 2 is true.

  • Diagonals of a parallelogram PQRS must be a

    A
    rectangle
    B
    square
    C
    cyclic quadrilateral
    D
    rhombus

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    The diagonals of a parallelogram are equal. (True Or False)

    If the diagonals of a parallelogram are equal and intersect at right angles,then the parallelogram is a square.

    If the diagonals of a parallelogram are perpendicular,then it is a rhombus.

    If the diagonals of a parallelogram are perpendicular; then it is a rhombus.

    Which of the following statements are true and which are false? (a) The diagonals of a parallelogram are equal. (b) The diagonals of a rectangle are perpendicular to each other. ( c) The diagonals of a rhombus are equal.

    Statement 1: If |vec a+vec b|=|vec a-vec b|, then vec a and vec b are perpendicular to each other. Statement 2: If the diagonal of a parallelogram are equal magnitude,then the parallelogram is a rectangle.

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