Construction of a Quadrilateral When Four Sides and One Diagonal Are Given

Q.

Construct a quadrilateral XYZW in which XY =5cm, YZ=6 cm, ZM=7 cm, WX=3 cm, and XZ=9 cm,

Q.

Construct a rhombus with side 6 cm and one diagonal 8 cm. Measure the other diagonal.

Q. Construct a quadrilateralABCDin which AB =5 cm, BC = 4 cm, CD = 6 cm and AD = 5 cm and diagonal AC = 7.8

Q.

Construct the following quadrilateral: Quadrilateral $\text{JUMP}$. $\text{JU = 3.5 cm, UM = 4 cm, MP = 5 cm, PJ = 4.5 cm, PU = 6.5 cm}$

Q.

Construct a quadrilateral PQRS in which PQ = 5.4 cm, QR = 4.6 cm, R = 4.3 cm, SP = 3.5 cm and diagonal PR = 4 cm.

Q.

Question 2
Construct the Quadrilateral JUMP where

JU =3.5 cm, UM = 4 cm, MP = 5cm, PJ=4.5 cm, PU= 6.5 cm

Q.

To construct a rectangle, we need the measurement of

1. two adjacent sides

2. two opposite sides

3. two diagonals

4. any one side

Q.

Construct a parallelogram PQRS such that PQ =5.2 cm, PR=6.8 cm, and QS=8.2 cm,

Q. Is it possible to construct a quadrilateral ABCD in which a b is equals to 5 centimetre BC is equals to 7.5 CM angle A is equals to 80 degree angle b is equals to 140 degree and Angle C is equals to 145 degree .if not give reason why

Q.

Question 4
Construct the Rhombus BEST where
BE = 4.5 cm, ET = 6 cm

Q. Construct a parallelogram, ABCD with side BC = 4.5 cm, diagonal AC = 5.6 cm and diagonal BD = 5.0 cm. [4 MARKS]

Q.

Question 1
Construct the Quadrilateral ABCD where
AB=4.5 cm, BC=5.5 cm, CD=4 cm, AD=6cm, AC=7 cm

Q. Draw a rectangle ABCD such that l(AB) = 6.0 cm and l (BC) = 4.5 cm.

Q. Steps for the construction of a quadrilateral ABCD with AB = 4 cm, BC = 6 cm, CD = 5.5 cm, AD= 5 cm and AC = 8 cm is given below.

Choose the correct order.

1. Draw a line segment AC of 8 cm.

2. With 4 cm as radius from A draw an arc.

3. With 5 cm as radius from A draw an arc to the opposite side of AC.

4. With 6 cm as radius cut the arc drawn in step 2. Let that point of intersection be B. Join AB and CB.

5. From C take 5.5 cm as radius and cut the arc drawn in step 4. Let the point of intersection be D. Join AD and CD.

1. 1, 2, 4, 3, 5
2. 1, 2, 3, 4, 5
3. 1, 2, 5, 4, 3
4. 1, 2, 3, 5, 4

Q.

Construct a lite ABCD in which AB=4 cm, BC=4.9 cm and AC=7.2 cm.

Q. Construct a quadrilateral ABCD in which AB = 5.5 cm, AD = 4.4 cm, CD = 6.5 cm, AC = 6.5 cm, and BD = 7.1 cm. [4 MARKS]

Q. ABCD is a quadrilateral and the measure of AB, BC , CD and AC are known. Which of the following parameter required for the construction of a unique quadrilateral ABCD ?

1. $AD$
2. $\angle ADB$
3. $\angle BCA$
4. $\angle BAC$

Q.

Try to draw quadrilateral ABCD of these specifications:

(i) AB = 7 cm, BC =5 cm, CD = 4 cm, ∠B = 60°, ∠C = 140°.

(ii) AB = 8 cm, BC = 6 cm, CD = 5.5 cm, DA = 3 cm, ∠B = 50°.

(iii) AB = 8.5 cm, BC = 4.5 cm, CD = 5 cm, DA = 6 cm, BD = 7.5 cm.

Q. Construct ☐ PQRS, such that l(PQ) = 3.5 cm, l(QR) = 5.6 cm, l(RS) = 3.5 cm, m∠Q = 110$°$, m∠R = 70$°$.
If it is given that ☐ PQRS is a parallelogram, which of the given information is unnecessary?

Q. Question 124
State whether the statements are True or False.
A quadrilateral can be drawn, if all four sides and one diagonal is known.

Q.

Consruct a quadrilateral ABCD such that AB=BC=5.5 cm, CD=4 cm, DA=6.3 cm, and AC=9.4 cm, Measure BD.

Q.

Construct a quadrilateral ABCD in which AB=4.4 cm, BC=4cm, CD =6.4 cm, DA =3.8 cm , and BD = 6.6 cm.

Q.

a parallelogram OKAY where OK=5.5cm and KA=4.2cm . construct it.

Q. Construct a quadrilateral ABCD in which AB=4.1cm BC=3.6cm CD=6.1cm DA=5.1cm and angle ABC=120 degrees

Q. Construct ☐ BARC such that l(BA) = l(BC) = 4.2 cm, l(AC) = 6.0 cm, l(AR) = l(CR) = 5.6 cm

Q.

Construct, if possible a quadrilateral ABCD in which AB=6 cm, BC =7 cm, CD =3 cm, AD =5.5 cm and AC =11cm, Give reasons for not being able to construct, if you cannot.

Q. Construct a quadrilateral $ABCD$ with $AB=4.5cm,BC=5.5cm,CD=4cm,AD=6cm$ and diagonal $AC=7cm$.

Q. Construct a quadrilateral BEAR in which BE = 6 cm, EA = 7 cm, RB = RE = 5 cm and BA = 9 cm. Measure its fourth side.

Q.

A quadrilateral ABCD is to be constructed. What are the measurements required to construct the quadrilateral ABCD from the given options?

1. AB, BC, CD and DA

2. AB, BC, CD, DA and BD

3. AB, BC, CD, AC and BD

4. AB and BC

Q.

Construct, if possible, a quadrilateral ABCD given, AB=6 cm BC=3.7 cm, CD=5.7 cm, AD=5.5 cm, and BD=6.1 cm, Give reasons for not able to construct, if you cannot.