# Construction of a Quadrilateral in Different Situations

## Trending Questions

**Q.**

The sum of the length of any two sides of a triangle is always equal to the third side.

True

False

**Q.**

A triangle with sides 2cm, 3cm and 5cm is possible.

True

False

**Q.**

How many degrees are there in three right angles?

**Q.**

The hypotenuse of a right angled triangle is 5cm and the other two sides differ by 1cm . Find the lengths of the sides of the triangle

**Q.**If the measure of 3 sides of a quadrilateral is given, which among the following measurements are required to construct a unique quadrilateral?

- 2 diagonals
- 1 side
- 1 diagonal
- 1 angle

**Q.**

The sides of a triangle are in the ratio 5:7:8. If the perimetre of the triangle is 100 cm, find the lenght of the sides of the triangle.

**Q.**

How many degrees are there in five right angles?

**Q.**

Can the sides of a triangle be in the ratio 1 : 2 : 3?

**Q.**The sum of all the angles of a triangle is

- 360∘
- 90∘
- 180∘
- 150∘

**Q.**___ is a quadrilateral which has exactly one pair of opposite angles that are equal.

- Parallelogram
- Kite
- Rhombus
- Square

**Q.**

In a triangle sum of lengths of any two sides must be less than the third side.

True

False

**Q.**

How many degrees are there in one right angle.

**Q.**The sum of all the angles of a triangle is

- 360∘
- 90∘
- 180∘
- 150∘

**Q.**A quadrilateral can be constructed by constructing 2 triangles having a common side. True/False.

- False
- True

**Q.**

Prove that for any quadrilateral with a pair of opposite sides parallel, the area is half the product of the sum of the lengths of the parallel sides and the distance between them.

**Q.**

There is a quadrilateral PLAY with PL = 3cm, LA = 4cm, AY = 4.5 cm, PY = 2cm. Which of the following values of LY is not possible?

2

3

6

4

**Q.**

The sum of the measures of three angles of a triangle is greater than $180\xb0$. State whether the statement is True or False.

- True
- False

**Q.**

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

No, it is impossible

With the measure of extra angle, Yes

With the measure of other diagonal, Yes

Yes, definitely

**Q.**If the measure of sides of a quadrilateral are given as AB = 7cm, AD = 5 cm and BD = 10 cm. Can you draw a quadrilateral ABCD?

- Yes
- No
- Yes, if BC is given.
- Yes, if BC and CD is given.

**Q.**

A triangle with sides 2 cm, 3 cm and 5 cm is possible. (True/False)

True

False

**Q.**

A triangle has 2 sides, 5 cm and 6 cm respectively. What value must the 3rd side be greater than (in cm)?

**Q.**

What is the name of a twelve-sided polygon?

dodecagon

decagon

nonagon

octagon

**Q.**

Let ABC be a triangle and P be an interior point. Prove that AB + BC + CA < 2(PA + PB + PC).

**Q.**

A triangle has two sides given as 5 cm and 6 cm. The third side must be smaller than what (in cm)?

**Q.**

If the measure of the sides of a quadrilateral are given as AB = 4cm, CD = 5cm, and angles are given as ∠ ABC = 75∘, ∠ BCD = 35∘ and ∠ CDA = 135∘, can you construct a quadrilateral ABCD?

Yes

No

With the measure of ∠ DAB, Yes

With the measure of BC, Yes

**Q.**

For a quadrilateral PQRS where PQ = 4 cm, QR = 6 cm, RS = 5 cm, PS = 5.5 cm. The length of PR should be less than

**Q.**

Tick the correct answer:

The sum of all interior angles of a triangle is :

$0$

$360\xb0$

$180\xb0$

$270\xb0$

**Q.**

- rhombus
- parallelogram
- kite
- square

**Q.**

How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = 70∘, Angle Q = 100∘, Angle R = 80∘ and Angle S =110∘.

0

1

2

Infinite

**Q.**

Construct a quadrilateral ABCD given AB = 5.6 cm, BC = 4.1, CD = 4.4 cm, AD = 3.3 cm and ∠A=75∘ [3 MARKS]