Construction of a Quadrilateral When Three Sides and Two Diagonals Are Given.

Q.

There is a unique quadrilateral ABCD possible with AB = 4 cm, BC = 6 cm, AC = 7 cm, CD = 5 cm and BD = 8 cm. State True or False.

1. False

2. True

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. Construct a quadrilateral PQRS where PQ = 4 cm, QR = 6 cm, RS = 5 cm, PS = 5.5 cm, and PR = 7 cm.

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. None of these
2. It is possible to draw the quadrilateral
3. It is not possible to draw the quadrilateral since AD + DC < AC
4. It is possible to draw the quadrilateral since AD + DC < AC

Q.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

1. No, it is impossible

2. Yes, definitely

3. With a measure of one angle too, yes

4. with a measure of two angles too, yes

Q.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

1. Yes, definitely

2. No, it is impossible

3. with a measure of two angles too, yes

4. With a measure of one angle too, yes

Q.

When we start constructing a quadrilateral whose 2 diagonals and 3 sides known, in how many ways can the construction be started.

1. 2

2. 1

3. 3

4. 4

Q.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

1. With a measure of one angle too, yes

2. with a measure of two angles too, yes

3. No, it is impossible

4. Yes, definitely

Q. We can construct a quadrilateral by constructing two triangles and joining them.

1. True
2. False

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

1. AB, BC, CD and DA

2. AB, BC, CD, AC

3. AB & BC

4. AB, BC, CD, AC and BD

Q. If DC = 7.3 cm, one of the angles is ${60}^{\circ }$ and the diagonals bisect each other at ${90}^{\circ }$, then which of the following figures can be constructed ?

1. Rectangle
2. Square
3. Trapezium
4. Rhombus

Q.

Construct a quadrilateral, ABCD has AB = 3.0 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 3.5 cm and diagonal AC = 4.5 cm [2 MARKS]

Q.

If there is a quadrilateral ABCD and you have measures of any three sides and two diagonals of quadrilateral ABCD, can you construct the quadrilateral?

1. No, it is impossible

2. Yes, definitely

3. With a measure of one angle too, yes

4. with a measure of two angles too, yes