Construction of Quadrilateral (4 Sides)

Q.

To construct a quadrilateral using triangles, minimum number of triangles needed are

1. 2

2. 3

3. 4

4. 1

Q. Question 122
State whether the statements are True or False.
A quadrilateral can be drawn if only measures of four sides are given.

Q. A unique quadrilateral can be pictured as a combination of 2 triangles, with the diagonal as a base. State True or False.

1. True
2. False

Q. Question 17
A quadrilateral in which all sides are equal, opposite angles are equal and the diagonals bisect each other at right angles is a ___.
a) Rhombus
b) Parallelogram
c) Square
d) Rectangle

Q. Question 19
If AB and CD are the smallest and largest sides of a quadrilateral ABCD, out of $\angle B$ and $\angle D$ decide which is greater.

Q. A unique quadrilateral can be pictured as a combination of 2 triangles, with the diagonal as a base.
True/False.

1. False
2. True

Q. Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, $\angle B={60}^{\circ }$ and $\angle A={120}^{\circ }$ [4 MARKS]

Q.

At least four measurements are required to draw a unique quadrilateral.

1. True

2. False

Q. If AB = BC = CD = DA = 4 cm, then the quadrilateral ABCD could be a rhombus or a .

1. square
2. parallelogram
3. rectangle
4. none of the above

Q.

A parallelogram whose adjacent sides are equal is a _____.

1. Rectangle

2. Square

3. Trapezium

4. Rhombus

Q.

While constructing quadrilateral PQRS with 3 sides and 2 diagonals which of the following geometric tool is not used?

1. Compass

2. Divider

3. Ruler

4. Protractor

Q. The minimum number of measurements that is required to construct a quadrilateral is .

1. 4
2. 5
3. 3
4. 6

Q.

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

1. No, it is impossible

2. With the measure of extra angle, Yes

3. With the measure of other diagonal, Yes

4. Yes, definitely

Q.

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw quadrilateral ABCD? If you can, will this quadrilateral be unique?

1. Yes;Yes

2. Yes;No

3. No;Yes

4. No;No

Q. Identify the figures.

1. Parallogram
2. Square
3. Rhombus

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?

1. 2

2. 3

3. 6

4. None of these

Q. Measurements of which of the following parts would be sufficient to construct a quadrilateral?

1. 5 sides and 3 diagonals
2. 3 sides only
3. 3 angles and their 2 included sides
4. 2 diagonals only

Q.

If you have AB = 3 cm, BC = 4 cm, CD = 5 cm & and DA = 6 cm, can you draw quadrilateral ABCD? If you can, will this quadrilateral be unique?

1. Yes;Yes

2. Yes;No

3. No;Yes

4. No;No

Q. Construct a quadrilateral ABCD given AB = 5.6 cm, BC = 4.1, CD = 4.4 cm, AD = 3.3 cm and $\angle A={75}^{\circ }$ [3 MARKS]