Construction of Quadrilateral (3 Sides and 2 Angles)

Q.

How many quadrilaterals can we construct with the following data: quadrilateral PQRS with PQ = 4.5 cm, $\angle P$= ${70}^{\circ }$, $\angle Q$ = ${100}^{\circ }$, $\angle R$ = ${80}^{\circ }$ and $\angle S$ =${110}^{\circ }$.

1. 1

2. 2

3. 0

4. infinite

Q.

I construct quadrilateral with 3 sides and 2 included angles being ${75}^{\circ }$ and ${105}^{\circ }$ respectively. What is the type of quadrilateral I am constructing?

1. Parallelogram

2. Trapezium

3. Square

4. None of these

Q.

If I construct a quadrilateral with 3 sides and 2 included angles being ${75}^{\circ }$ and ${105}^{\circ }$ respectively. What is the type of quadrilateral I am constructing?

1. Parallelogram

2. Trapezium

3. Square

4. None of these

Q.

Is it possible to construct a unique quadrilateral ABCD with AB = 5cm, BC = 6cm, CD= 7cm, $\angle$ABC = ${40}^{\circ }$ and $\angle$ BCD = ${55}^{\circ }$?

1. Yes, it is possible

2. No, two such quadrilaterals can be constructed

3. No, there can be infinite such quadrilaterals

4. With the measure of an extra side, yes.

Q.

In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also, $\angle SPQ$ = ${70}^{\circ }$ and $\angle PQR$ = ${90}^{\circ }$. Which of the following options is the approximate the value of $\angle QRS$?

1. ${110}^{\circ }$

2. ${118}^{\circ }$

3. ${90}^{\circ }$

4. ${100}^{\circ }$

Q. In the construction of quadrilateral PQRS, with PQ = 3 cm, QR = 4 cm and PS = 5 cm, also, $\angle$SPQ = ${70}^{\circ }$ and $\angle$PQR = ${90}^{\circ }$, which of the sides should be taken as the base of the quadrilateral?

1. RS
2. PR
3. PQ
4. QR

Q.

How many quadrilaterals can I construct with the following data: Quadrilateral PQRS with PQ = 4.5 cm, Angle P = ${70}^{\circ }$, Angle Q = ${100}^{\circ }$, Angle R = ${80}^{\circ }$ and Angle S =${80}^{\circ }$.

1. 1

2. 2

3. Infinite

4. 0

Q.

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

Q.

In a quadrilateral PQRS, PQ = 3 cm, QR = 4 cm and PS = 5 cm. Also, $\angle$SPQ = ${70}^{\circ }$ and $\angle$PQR = ${90}^{\circ }$. Which of the following options is the approximate value of $\angle$QRS?

1. 

2. 

3. 

4. 

Q. Ram is constructing a quadrilateral DEAR. He knows the measurements DE = 5 cm, EA = 4 cm, RA = 6 cm, $\angle$ E = 60° and $\angle$ A = 110°. What will be his first step of construction?

1. Draw 110° at the point A.
2. Draw 60° at the point D.
3. Draw 60° at the point E.
4. Draw a line segment EA of length 4 cm.

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.

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