Construction of Quadrilateral When 3 Sides and 2 Diagonals Are Given

Q.

Construct quadrilateral ABCD given BC = 4.5 cm, AD = 5.5 cm, CD = 5 cm, diagonal AC = 5.5 cm and diagonal BD = 7 cm.

Q.

Construct the following quadrilateral: Quadrilateral $\text{DEAR, DE = 4 cm, EA = 5 cm, AR = 4.5 cm, ∠E = 60°, ∠A = 90°}$.

Q.

If lengths of three sides are given, then to construct a quadrilateral we need

1. One included angle

2. Length of fourth side

3. Length of one diagonal

4. Two included angles

Q.

Construct a quadrilateral QRST in which angle Q =50° , angle R =70°, angle S =130°, QR=8cm , QT=5.8cm.

Q.

The minimum number of sides and angles needed to construct each type of quadrilateral will differ.

1. True

2. False

Q. To construct a quadrilateral, we need to know two adjacent sides and _____ angles.

1. zero
2. one
3. two
4. three

Q.

Construct a quadrilateral LMNO in which LM=3cm, MN=2.5cm, and the diagonal LN=4cm and MO=5cm

Q.

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

1. 1

2. 2

3. 3

4. 4

Q. We can construct a quadrilateral, if the measure of 3 sides and is / are given.

1. 1 adjacent angle
2. 1 diagonal
3. 1 included angle
4. 2 included angles

Q. Question 126
State whether the statements are True or False.
A quadrilateral can be drawn, if all four sides and one angle is known.

Q. A quadrilateral can be viewed as a combination of 2 triangles having one common side.

1. True
2. False

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

1. True
2. False

Q.

A quadrilateral can be constructed uniquely if the measurement of ______ sides and _______ angles are given.

1. Three, two included

2. Two, two

3. Two, one included

4. Three, two

Q. For constructing a unique quadrilateral when 2 sides and 3 angles are given, the length of sides are mandatory.

1. two adjacent
2. any two
3. two opposite

Q. We cannot construct a quadrilateral if the measurements of 4 angles and one side is given.

1. False
2. True

Q. We can construct a quadrilateral, if the measure of 3 sides and is / are given.

1. 1 adjacent angle
2. 1 diagonal
3. 1 included angle
4. 2 included angles

Q. To construct a convex quadrilateral, which of the following cases is not correct?

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

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

1. False
2. True

Q. We can construct a quadrilateral if the measurements of 4 sides and 1 angle is given.

1. True
2. False

Q. Construction of a unique quadrilateral is possible if we have the measurement of 3 sides and ___ included angle(s).

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

Q.

If we have the measure of 4 sides of a quadrilateral and measure of one of its diagonals, then which of the following statements is correct?

1. We cannot construct a distinct quadrilateral.

2. We can construct a distinct quadrilateral.

3. The quadrilateral will always be a square.
4. None of these.

Q. We cannot construct a quadrilateral if the measurements of 4 angles and one side is given.

1. False
2. True

Q. We cannot construct a quadrilateral if the measurements of 4 angles and one side is given.

1. False
2. True

Q.

Quadrilateral ABCD can be constructed if AB, AD, and ___________ is/are given.

1. ∠A

2. ∠B

3. ∠C

4. All the these

Q.

A quadrilateral can be constructed uniquely if the measurement of ______ sides and _______ angles are given.

1. Three, two

2. Two, one included

3. Two, two

4. Three, two included

Q. To construct a unique quadrilateral we should have a minimum measurement of 3 sides and included angles.

1. 3
2. 2
3. 5

Q.

The following element is sufficient to construct a quadrilateral:

1. 1 side and 1 angle

2. 3 sides and 1 angle

3. 2 sides and 1 angle

4. 4 sides and 1 angle

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 and BD

3. AB, BC, CD, AC

4. AB & BC

Q.

We can construct an unique quadrilateral ABCD with AB = 4 cm, BC = 6 cm, AC = 7 cm, CD = 5 cm and BD = 8 cm.

1. True

2. False

Q. Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AS = 6cm , angleABC = 60°, angleDAB =75°, and angleADC = 85°? If yes then how?