Properties of Parallelograms

Q.

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

1. Square

2. Trapezium

3. Rhombus

4. 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?

1. Rhombus

2. Parallelogram

3. Rectangle

4. 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 ______.

1. Rhombus

2. Rectangle

3. Trapezium

4. 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. 1.9 cm and 6.4 cm
2. 3.8 cm and 3.2 cm
3. 3.8 cm, 3.8 cm
4. 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

1. 30 cm

2. 20 cm²

3. 30 cm²

4. 20 cm

Q.

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

1. 1

2. 2

3. 3

4. 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.

1. True

2. 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.

1. True
2. 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.

1. 320
2. 240
3. 160
4. 100

Q.

Which of the following statements are true?

1. Adjacent angles of a parallelogram are supplementary

2. Diagonals of a parallelogram bisect each other

3. A parallelogram with one right angle is a rectangle

4. 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.

1. True

2. 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?

1. 3

2. 2
3. 1
4. 5

Q.

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

1. $4cm,6cm$

2. $6cm,12cm$

3. $3cm,6cm$

4. $2cm,4cm$

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:

1. 30 sq units

2. 25 sq units

3. 35 sq units

4. 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.

1. 25 sq. cm
2. 100 sq. cm
3. 50 sq. cm
4. 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 m²? (If required you can split the tiles in whatever way you want to fill up the corners).

Q.

Match the following:

$\begin{array}{cc}\text{Quadrilateral}& \text{Properties}\\ \text{1. Trapezium}& \text{A) A parallelogram, where diagonals bisect}\text{each other at right angles, all sides are equal and}\text{none of the angles are equal to}{90}^{\circ }\\ \text{2. Square}& \text{B) A quadrilateral, where only one pair of}\text{opposite sides is parallel and unequal}\\ \text{3. Rectangle}& \text{C) A parallelogram, where diagonals are}\text{equal, all sides equal and all the}\text{angles are}{90}^{\circ }\\ \text{4. Rhombus}& \text{D) A parallelogram, where diagonals and}\text{opposite sides are equal, and all the}\text{angles are}{90}^{\circ }\end{array}$

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

1. False

2. 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.

1. True

2. False