Construction of Quadrilaterals.

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

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

Q. How many measurements are sufficient to make a quadrilateral?

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

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. What are the minimum number of measurements needed to construct a square?

1. 4
2. 3
3. 1
4. 2

Q.

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

1. True

2. False

Q.

Which of the following geometric apparatus is used to make two line segments meet when their lengths and one point in each line segment is known?

1. Divider

2. Compass

3. Protractor

4. None of these

Q. Find the value of $x$ in each figure.

1. ${65}^{\circ }$
2. ${70}^{\circ }$
3. ${105}^{\circ }$

Q.

Given below are the steps of construction of a quadrilateral ABCD, where AB = 3.5 cm, BC = 6.5 cm, $\angle A={75}^{\circ },\angle B={105}^{\circ }$ and $\angle C={120}^{\circ }$. Which of the following options is the wrong step?
1:- Draw AB = 3.5 cm.
2:- Draw $\angle DAB={75}^{\circ },\angle ABC={105}^{\circ }$ at B.
3:- Draw BC = 6.5 cm.
4:- At D draw $\angle ADC={120}^{\circ }$.

1. 3

2. 2

3. 4

4. 1

Q.

From the options given below, choose the option which has all the measurements you will require to construct a quadrilateral ABCD.

1. AB, BC, CD, DA and BD

2. both options B & C

3. AB, BC, CD, AC and BD

4. AB, BC, CD and DA

Q. We can construct a rectangle if we know the measures of at least ___

1. Length and breadth
2. All sides
3. A side and a diagonal
4. All angles

Q.

How many measurement are sufficient to make a quadrilateral?

1. 3

2. 4
3. 6

4. 5

Q. Construct a quadrilateral, ABCD with AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, diagonal AC = 5.0 cm and diagonal BD = 4.5 cm.
[2 MARKS]

Q.

A quadrilateral ABCD can be constructed given

1. AB = 5 cm, BC = 4 cm, CD, ,

2. = 60^o, = 40^o, , ,

3. BC = 4 cm, CD = 5 cm, , ,

4. AB = 5.5 cm, BC=3.7 cm, , and

Q.

To construct a rectangle, we need the measurement of

1. two adjacent sides

2. two opposite sides

3. any one side

4. two diagonals

Q.

Construct a quadrilateral, ABCD with AB = 3.5 cm, BC = 3.0 cm, AD = 3.8 cm, diagonal AC = 5.0 cm and diagonal BD = 4.5 cm.
[2 MARKS]

Q.

For the construction of a triangle, we need measures of two sides and ___ angle.

1. three

2. two

3. zero

4. one

Q.

A quadrilateral can be constructed by constructing 2 triangles which on joining gives a quadrilateral.

1. True

2. False

Q.

In a quadrilateral ABCD, AB = 7 cm, BC = 5 cm, AC = 9 cm, AD = 6 cm, CD = 2 cm. Which of the following options is true about the construction of a quadrilateral ABCD?

1. It is possible to draw the quadrilateral
   

2. It is not possible to draw the quadrilateral since AD + DC < AC
   

3. None of these

4. It is possible to draw the quadrilateral since AD + DC < AC
   

Q.

The number of measurements required to construct a quadrilateral is ___. Choose the most appropriate answer to fill in the blank.

1. 4

2. 3

3. 2

4. 5

Q.

Which property is used to construct a rectangle given one diagonal and angle between diagonals?

1. Diagonals bisect each other
   

2. Diagonals are equal
   

3. Both (A) and (B)
   

4. Opposite sides are equal

Q.

If we have measurments of 2 adjacent sides and minimum of ___ angles, we can construct a unique quadrilateral.

Q. What is the minimum number of measurements required to construct a rhombus?

1. 4
2. 3
3. 2
4. 1

Q.

If the measurement of sides of a quadrilateral are given as AB = 4 cm, CD = 5 cm, and angles are given as $\angle ABC=$ ${75}^{\circ }$, $\angle BCD=$ ${45}^{\circ }$ and $\angle CDA=$ ${135}^{\circ }$, can you construct a unique quadrilateral ABCD?

1. With measure of DAB, Yes

2. No

3. With measure of BC, Yes

4. Yes

Q. In which of the following cases will you not be able to construct a convex quadrilateral?

1. When the length of three sides and one diagonal are given
2. When the length of three sides and the two diagonals are given
3. When the length of four sides and one angle are given
4. When the length of two sides and two included angles are given

Q. The minimum number of measures required to construct a rectangle is/are

1. length of opposite sides
2. length of all sides
3. length of one side
4. length of adjacent sides

Q.

Construction of a unique quadrilateral is possible if we have a minimum measurement of 3 sides and ___included angles.

Q. Construct a quadrilateral ABCD given that AB = 4 cm, BC = 3 cm, ∠A = 75°, ∠B = 80° and ∠C = 120°.

Q.

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

1. 3 sides only

2. 5 sides and 3 diagonals

3. 3 angles and their 2 included sides

4. 2 diagonals only

Q.

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

1. AB, BC, CD, DA

2. AB, BC, CD, DA, BD

3. AB, BC, CD, AC, BD

4. Both B & C

Q. What is the minimum number of measurements required to construct a parallelogram?

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