# Construction of Quadrilateral When 3 Sides and 2 Diagonals Are Given

## Trending Questions

**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 $\text{DEAR, DE=4cm, EA=5cm, AR=4.5cm, \u2220E=60\xb0, \u2220A=90\xb0}$.

**Q.**

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

One included angle

Length of fourth side

Length of one diagonal

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.

True

False

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

- zero
- one
- two
- 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

2

3

4

**Q.**We can construct a quadrilateral, if the measure of 3 sides and

- 1 adjacent angle
- 1 diagonal
- 1 included angle
- 2 included angles

**Q.**

**Question 126**

State whether the statements are True or False.

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.

- True
- False

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

True/False.

- True
- False

**Q.**

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

Three, two included

Two, two

Two, one included

Three, two

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

- two adjacent
- any two
- two opposite

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

- False
- True

**Q.**We can construct a quadrilateral, if the measure of 3 sides and

- 1 adjacent angle
- 1 diagonal
- 1 included angle
- 2 included angles

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

- When the lengths of four sides and one diagonal are given.
- When the lengths of three sides and the two diagonals are given
- When the lengths of two sides and two included angles are given
- 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.

- False
- True

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

- True
- False

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

- 3
- 2
- 1
- 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?

We cannot construct a distinct quadrilateral.

We can construct a distinct quadrilateral.

- The quadrilateral will always be a square.
- None of these.

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

- False
- True

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

- False
- True

**Q.**

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

∠A

∠B

∠C

All the these

**Q.**

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

Three, two

Two, one included

Two, two

Three, two included

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

- 3
- 2
- 5

**Q.**

The following element is sufficient to construct a quadrilateral:

1 side and 1 angle

3 sides and 1 angle

2 sides and 1 angle

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.

AB, BC, CD and DA

AB, BC, CD, AC and BD

AB, BC, CD, AC

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.

True

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?