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Parallelogram

Which of the ...

Question

Which of the following statements are false?

A

The diagonals of a parallelogram are equal

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B

The diagonals of a rectangle are perpendicular to each other.

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C

The diagonals of a rhombus are equal.

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D

All sides of a rhombus are equal.

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Solution

The correct options are
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.

The diagonals of a parallelogram are not equal.

The diagonals of a rectangle bisect each other but are not perpendicular to each other.

The diagonals of a rhombus are not equal.

All sides of a rhombus are equal.

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Similar questions

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

Which of the following options aren't true?

1.All the sides of rhombus are always equal in length

2.All the sides of a parallelogram are always equal in length

3.Diagonals of a parallelogram are equal in length

4.Diagonals of a square are equal in length

5.Diagonals of a rectangle are equal in length

Q. Write 'T' for true and 'F' for false for each of the following:
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus bisect each other at right angles.
(iv) Every rhombus is a kite.

Q. Read the following statement and choose the correct alternative from those given below them:
(i) Diagonals of a rectangle are perpendicular bisectors of each other
(ii) Diagonals of a rhombus are perpendicular bisectors of each other
(iii) Diagonals of a parallelogram are perpendicular bisectors of each other

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

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