Construction of Quadrilateral Given 3 Sides and 2 Diagonals

Q. The area of a rectangle of length l and breadth b is __________ .

1. l x b
2. l + b
3. 2l x b
4. 2(l + b)

Q.

In a quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS.

1. 1 cm

2. 2 cm

3. 3 cm

4. 4 cm

Q. PQRS is a quadrilateral. PQ = 4cm, QR = 6 cm, SR = 5 cm,
PS = 5.5 cm and PR = 7 cm.
The steps for construction are :

Step 1: Draw a line segment PR of length 7 cm.
Step 2: Draw an arc of length 4 cm from P and another arc of length 6 cm from the point R.
Step 3: Mark the intersecting point of the arcs be Q. Join Q to P and R.

What is the next step?

1. Draw an arc of length 5.5 cm from P and another arc of length 5 cm from R.
2. Join S to P and R.
3. Mark the intersecting point of the arcs to be S.
4. The quadrilateral PQRS is constructed.

Q.

Can we draw a quadrilateral ABCD with following AB = 3 cm, BC = 5 cm, AD = 4 cm, CD = 7 cm and BD = 8 cm?

1. No, it is impossible.

2. With the measure of extra angle, Yes.

3. Yes definitely.

4. With the measure of other diagonal, Yes.

Q.

If you are given AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ABC=${60}^{\circ }$. Can you draw the quadrilateral?

1. No

2. Yes

3. Maybe

4. What's a quadrilateral?

Q.

There is a quadrilateral with 2 sides and 2 diagonals given. How many more pieces of data need to be provided to construct the quadrilateral ?

__

Q.

A quadrilateral ABCD is given below. What all measurements will you require to draw the quadrilateral ABCD? The measurements are given in the following options. Choose the right options.

1. AB, BC, CD, DA

2. AB, BC, CD, DA, BD

3. AB, BC, CD, AC, BD

4. Both B & C

Q. Construct a quadrilateral PQRS in which PQ = 4.2 cm, ∠PQR = 60°, ∠QPS = 120°, QR = 5 cm and PS = 6 cm.

Q. Slide the slider to the minimum number of measurements that is required to construct a genaral quadrilateral.

1. 5

Q. Construct a quadrilateral ABCD in which AB = 4 cm, AC = 5 cm, AD = 5.5 cm and ∠ABC = ∠ACD = 90°.

Q.

If AB = 5 cm, BC = 6 cm, CD = 7 cm, DA = 6 cm and $\angle$ ABC= ${60}^{\circ }$ are given, then can you draw a quadrilateral?

1. No

2. Maybe

3. Atleast one more measurement is required.

4. Yes

Q.

In quadrilateral PQRS, PQ = 4 cm, QR = 3 cm, RS = 5.9 cm, QS = 4.8 cm and PR = 5.5 cm. Find the value of PS using constructions.

1. 4cm

2. 1cm

3. 3cm

4. 2cm

Q. In XYZW, l(XY) = 5.5 cm, l(XW) = 3 cm, m∠X = 70°, m∠Y = 95° and m∠Z = 85°.

Q. Construct Quadrilateral GOLD with OL=7.5 cm, GL= 6 cm, GD = 6 cm, LD = 5 cm, OD = 10 cm. [2 Marks]

Q.

We can construct a quadrilateral, given the length of 2 ______ sides and 3 angles.

1. None of the these

2. Opposite

3. Parallel

4. Adjacent

Q. Construct a quadrilateral ABCD in which AB = 3.5 cm, BC = 5 cm, CD = 4.6 cm, ∠B = 125° and ∠C = 60°.

Q. Construct a quadrilateral PQRS in which PQ = 6 cm, QR = 5.6 cm, RS = 2.7 cm, ∠Q = 45° and ∠R = 90°.

Q.

We can construct a quadrilateral, given the length of 2 ______ sides and 3 angles.

1. Parallel

2. Opposite

3. Adjacent

4. None of the Above

Q.

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

1. both options B & C

2. AB, BC, CD, AC and BD

3. AB, BC, CD and DA

4. AB, BC, CD, DA and BD

Q.

Can we draw a quadrilateral ABCD with following AB = 3 cm, BC = 5 cm, AD = 4 cm, CD = 7 cm and BD = 8 cm?

1. No, it is impossible.

2. With the measure of extra angle, Yes.

3. With the measure of other diagonal, Yes.

4. Yes definitely.

Q.

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

1. No, it is impossible

2. With a measure of one angle too, yes

3. Yes, definitely

4. I can construct half quadrilateral

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. False

2. True

Q.

Can we draw a quadrilateral ABCD with following measurements: AB = 3cm, BC = 5cm, AD = 4cm, CD= 7cm and BD=8cm?

1. No, it is impossible

2. With the measure of extra angle, Yes

3. With the measure of other diagonal, Yes

4. Yes, definitely