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The diagonals of a rhombus are perpendic...

The diagonals of a rhombus are perpendicular to each other.

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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.

Diagonals of a rectangle are perpendicular to each other.

Knowledge Check

  • The diagonals of a rhombus are perpendicular. The contrapositive of the above statement is

    A
    If the figure is not a rhombus, then its diagonals are not perpendicular .
    B
    If the diagonals are perpendicular,then the figure is a rhombus
    C
    If the digonals are not perpendicular, then the figure is a rhombus.
    D
    If the diagonals are not perpendicular, then the figure is not a rhombus
  • Is quadrilateral ABCD a rhombus ? I. Quadrilateral ABCD is a ||gm. II. Diagonals AC and BD are perpendicular to each other. The correct answer is : (a) /(b)/(c )/(d).

    A
    if the question can be answered by one of the given statements alone and not by the other,
    B
    if the quesiton can be answered by either statement alone,
    C
    if the question can be answered by both the statements together but not by any one of the two,
    D
    if the question cannot be answered by using both the statements together.
  • Similar Questions

    Explore conceptually related problems

    State whether the statements are true (T) or (F) false. Diagonals of a rhombus are equal and perpendicular to each other.

    Diagonals of a quadrilateral are perpendicular to each other. Is such a quadrilateral always a rhombus? Give a figure to justify your answer.

    The diagonals of a rhombus are unequal and bisect each other at right angle

    Name the quadrilaterals whose diagonals are perpendicular bisectors of each other.

    The diagonals are perendicular to each other. ' In which of the following quadrilaterals is the following property observed ? Rectangels, Rhombus , Kite, Isosceles tranpezium .

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