# Properties of Parallelograms

## Trending Questions

**Q.**

If in a parallelogram, the diagonals bisect each other at right angles, then the parallelogram is a ___.

Square

Trapezium

Rhombus

Rectangle

**Q.**If area of a parallelogram is 29.6 sq cm and its base is 8 cm, find its height.

**Q.**

In which of the following quadrilaterals, the diagonals bisect each other at right angles?

Rhombus

Parallelogram

Rectangle

Square

**Q.**Area of a parallelogram is 83.2 sq cm. If its height is 6.4 cm, find the length of its base.

**Q.**

A quadrilateral which has all sides equal but the angles do not measure 90^{o} is known as ______.

Rhombus

Rectangle

Trapezium

Parallelogram

**Q.**In a parallelogram ABCD diagonals AC and BD intersects at O and AC =12.8 cm and BD=7.6 cm, then the measure of OC and OD respectively equal to

- 1.9 cm and 6.4 cm
- 3.8 cm and 3.2 cm
- 3.8 cm, 3.8 cm
- 6.4 cm and 3.8 cm

**Q.**PQRS is a parallelogram with PQ=26cm and QR=20cm. If the distance between its longer sides is 12.5 cm, find

i)the area of the parallelogram

ii)the distance between its shorter sides

Answers

i)325cm sq.

ii)16.25 cm

**Q.**

The area of a parallelogram whose base is 4 cm and the height is 5 cm is

30 cm

20 cm

^{2}30 cm

^{2}20 cm

**Q.**

To construct a parallelogram, what is the minimum number of measurements one needs to be provided with?

1

2

3

4

**Q.**Hello. I am sorry it was a typing mistake in my last question. I mistakenly typed 'f' instead of'' t'...

.

Can you please tell me how to construct the parallelogram GOTU with angle O AS 60°and side GO as 10 cm.

thanks .

**Q.**

To construct a parallelogram, minimum number of measurements required is 3.

True

False

**Q.**

Question 59

State whether the statement is True or False.

If perimeter of two parallelograms are equal, then their areas are also equal.

**Q.**

Which of the following is/are true or false in case of a square ?

Opposite sides are parallel and equal.

- True
- False

**Q.**

Two adjacent sides of a parallelogram are 16 and 24 centimetres long. The height from the longer side is 15 centimetres. What is the height from the shorter side?

**Q.**The diagonals of a parallelogram are 16 cm and 20 cm. If they intersect each other at right angles, then its area is _____ sq cm.

- 320
- 240
- 160
- 100

**Q.**

Which of the following statements are true?

Adjacent angles of a parallelogram are supplementary

Diagonals of a parallelogram bisect each other

A parallelogram with one right angle is a rectangle

Diagonals of a parallelogram are equal in length

**Q.**

It is possible to draw a unique parallelogram with side of lengths 4 cm and 9 cm. State True or False.

True

False

**Q.**

One side of a parallelogram is of length 24 centimetres and the height from this side is 18 centimetres. What is its area?

**Q.**

What are the minimum number of parameters required to construct a unique parallelogram?

3

- 2
- 1
- 5

**Q.**

In a parallelogram ABCD, O is the midpoint of intersection of diagonals and OC=3 cm, OB=6 cm. What is AC and BD respectively?

4 cm, 6 cm

6 cm, 12 cm

3 cm, 6 cm

2 cm, 4 cm

**Q.**

Question 2 (a)

Identify all the quadrilaterals that have:

(a) Four sides of equal lengths.

**Q.**

If b = 10 and h = 7, then the area of the following parallelogram is given by:

30 sq units

25 sq units

35 sq units

70 sq units

**Q.**Equilateral triangles DBC, ECA and FAB are constructed externally on the sides BC, CA and AB of triangle ABC. Prove that AD, BE and CF are also concurrent.

**Q.**Area of parallelogram ABCD is 50 sq. cm. Find the area of parallelogram ABFE.

- 25 sq. cm
- 100 sq. cm
- 50 sq. cm
- 250 sq. cm

**Q.**

A
flooring tile has the shape of a parallelogram whose base is 24 cm
and the corresponding height is 10 cm. How many such tiles are
required to cover a floor of area 1080 m^{2}?
(If required you can split the tiles in whatever way you want to fill
up the corners).

**Q.**

Match the following:

QuadrilateralProperties1. TrapeziumA) A parallelogram, where diagonals bisect each other at right angles, all sides are equal and none of the angles are equal to 90∘2. SquareB) A quadrilateral, where only one pair of opposite sides is parallel and unequal3. RectangleC) A parallelogram, where diagonals are equal, all sides equal and all the angles are 90∘4. RhombusD) A parallelogram, where diagonals and opposite sides are equal, and all the angles are 90∘

- 1 - B, 2 - C, 3 - D, 4 - A
- 1 - C, 2 - B, 3 - D, 4 - A
- 1 - C, 2 - B, 3 - A, 4 - D
- 1 - A, 2 - B, 3 - C, 4 - D

**Q.**

To divide a line segment, the constructed ray must be at an obtuse angle to the line segment.

False

True

**Q.**78 Parallelogram have ing sides 60m and 40m and one of the diagonal is 80m long. Find the area of parallelogram

**Q.**The adjacent sides of a parallelogram are 21 cm and 28 cm . If its one diagonal is 35 cm; find the area of the parallelogram.

**Q.**

It is possible to draw a unique parallelogram with side of lengths 4 cm and 9 cm.

True

False