Construction of a Quadrilateral when  two adjacent sides and three angles are given

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

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

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

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

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

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

Q. Is it possible to construct a unique quadrilateral ABCD with AB = 4cm, AD = 6 cm, $\angle ABC={60}^{\circ }$, $\angle DAB={75}^{\circ }$, and $\angle ADC={85}^{\circ }$? If yes, find the value of $\angle BCD$.
(4 marks)

Q. If the measure of 3 sides of a quadrilateral is given, which among the following measurements are required to construct a unique quadrilateral?

1. 1 side
2. 1 diagonal
3. 2 diagonals
4. 1 angle

Q.

While constructing quadrilateral PQRS with 3 sides and 2 diagonals which of the following geometric tool is not used?

1. Ruler

2. Protractor

3. Compass

4. Divider

Q.

If the measurement of sides of a quadrilateral are given as AB = 4cm, 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. Yes

2. No

3. With measure of DAB, Yes

4. With measure of BC, Yes

Q.

During the construction of a quadrilateral for which 2 sides and 3 angles are known, how is the 4th point plotted?

1. Using angle and length

2. Using 2 angles

3. Using only length

4. Using arcs

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

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

Q. If the measure of 3 sides of a quadrilateral is given, which among the following measurements are required to construct a unique quadrilateral?

1. 2 diagonals
2. 1 diagonal
3. 1 angle
4. 1 side

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

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

Q. If the measure of 3 sides of a quadrilateral is given, which among the following measurements are required to construct a unique quadrilateral?

1. 2 diagonals
2. 1 angle
3. 1 side
4. 1 diagonal

Q.

What is drawn in the first step in constructing a quadrilateral for which 2 sides and 3 angles are known?

1. Line Segment

2. Arc

3. None of these

4. Triangle

Q.

If we have measurments of 2 adjacent sides and minimum of __ angles, we can construct a unique quadrilateral. Fill in the blank.

Q.

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

1. 3

2. 6

3. 7

4. 8

Q.

While constructing quadrilateral PQRS with 3 sides and 2 diagonals which of the following geometric tool is not used?

1. Ruler

2. Protractor

3. Compass

4. Divider

Q.

In a quadrilateral MIST, MI = 3.5 cm, IS = 6.5 cm, Angle M = ${75}^{\circ }$, Angle I = ${105}^{\circ }$ and Angle S = ${120}^{\circ }$. Which line segment should be drawn first?

1. MI

2. IS

3. IM

4. Either IS or MI

Q.

If we have measurments of 2 adjacent sides and minimum of __ angles, we can construct a unique quadrilateral. Fill in the blank.

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

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