Construction of a Quadrilateral When Its Four Sides and One Angle Are Given.

Q.

Construct a quadrilateral ABCD in which AB = 5.6 cm, BC = 4 cm, $\angle A={50}^{\circ }$, $\angle B={105}^{\circ }$ and $\angle D={80}^{\circ }$.

Q.

Construct a quadrilateral ABCD in which AB = BC = 3.5 cm, AD = CD = 5.2 cm and $\angle ABC={120}^{\circ }$.

Q.

Construct a quadrilateral ABCD in which AB = 3.6 cm, BC = 5.5 cm, CD = 5 cm, $\angle B={125}^{\circ }$ and $\angle C={80}^{\circ }$ [2 MARKS]

Q.

Construct a quadrliateral ABCD; if:

(i) AB = 4.3 cm, BC = 5.4, CD = 5 cm, DA = 4.8 cm and $\angle$ ABC = ${75}^{\circ }$.

(ii) AB = 6 cm, CD = 4.5 cm, BC = AD = 5 cm and $\angle \text{BCD}={60}^{\circ }$

(iii) AB = 8 cm, BC = 5.4 cm, AD = 6 cm, $\angle \text{A}={60}^{\circ }$ and $\angle \text{B}={75}^{\circ }$.

(iv) AB = 5 cm, BC = 6.5 cm, CD = 4.8 cm, $\angle \text{B}={75}^{\circ }$ and $\angle \text{C}={120}^{\circ }$

(v) AB = 6 cm = AC, BC = 4 cm, CD = 5 cm and AD = 4.5 cm.

(vi) AB = AD = 5 cm, BD = 7 cm and BC = DC = 5.5 cm

Q. Construction of quadrilaterals when four sides and one angle are given: 5.Construct a quadrilateral ABCD in which AB = 3.8 cm, BC = 3.4cm, CD = 4.5 cm, AD = 5cm and $\angle B={80}^{\circ }.$

Q.

Construct a quadrilateral ABCD in which AB=BC=6 cm, AD=DC=4.5cm, and $\angle B={120}^{\circ }$

Q.

Construct a quadrilateral ABCD in which AB = 2.7 cm, BC = 3.5 cm, CD = 4 cm, AD = 6 cm and $\angle B={90}^{\circ }$ [4 MARKS]

Q.

Construct a quadrilateral ABCD in which AB=3.8 cm, BC=3.4, CD=4.5 cm, AD=5 cm, and $\angle B={80}^{\circ }$.

Q.

Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and $\angle B={45}^{\circ }$ [3 MARKS]

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Construct a quadrilateral ABCD given that AB=8 cm, BC= 8 cm, CD=10 cm, AD=10 cm and $\angle A={45}^{\circ }$

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Construct a quadrilateral ABCD in which AB=7.7 cm, BC=6.8 cm, CD=5.1 cm, AD=3.6 cm and $\angle C={120}^{\circ }$

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Construct a quadrilateral ABCD, with AB = 4.0 cm, BC = 4.5 cm, CD = 4.7 cm, $\angle B={60}^{\circ }$ and $\angle A={120}^{\circ }$ [4 MARKS]

Q.

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

1. True

2. False

Q.

Construct a quadrilateral ABCD in which AB=2.8 cm, BC= 3.1 cm, CD=2.6 cm, and DA=3.3 cm and $\angle C={60}^{\circ }$

Q.

Construct a quadrilateral ABCD in which AB = 2.9 cm, BC = 3.2 cm, CD = 2.7 cm, DA = 3.4 cm and $\angle A={70}^{\circ }$.

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 a quadrilateral?

1. Yes

2. Two more measurement are required.

3. Atleast one more measurement is required.

4. Such a quadrilateral is not possible.

Q.

Construct a quadrilateral ABCD in which AB = 4.4 cm, BC = 4 cm, CD = 6.4 cm, DA = 2.8 cm and BD = 6.6 cm. [3 MARKS]

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Construct a quadrilateral ABCD, where AB = 3.5 cm, BC = 3 cm, CD = 4 cm and $\angle C={120}^{\circ }$ and $\angle B={75}^{\circ }$. [4 MARKS]

Q. Construct a quadrilateral ABCD in which AB = 2.7 cm, BC = 3.5 cm, CD = 4 cm, AD = 6 cm and $\angle B={90}^{\circ }$ [4 MARKS]

Q.

I give you lengths of 2 sides for a quadrilateral and tell you that this information is enough to construct it.What kind of quadrilateral do you need to construct and how will you construct it? [2 MARKS]

Q.

Construct a quadrilateral ABCD in which AB=BC 3 cm, BC=3 cm, AD= CD =5 cm, and $\angle B={120}^{\circ }$

Q. Construct a quadrilateral ABCD, if AB=4.5 cm, BC=5.5 cm, CD=5 cm, DA=4.8 cm, and $\angle ABC={60}^{\circ }$.

Q. Constant a quadrilateral ABCD, when :
AD = AB = $4$ cm, BC = $2.8$ cm, CD = $2.5$ cm and angle BAD = ${45}^{\circ }$.

Q.

Construct a quadrilateral ABCD in which AB = 2.7 cm, BC = 3.5 cm, CD = 4 cm, AD = 6 cm and $\angle B={90}^{\circ }$ [4 MARKS]

Q. Construct a quadrilateral ABCD with AB = 3.5 cm, BC = 4.0 cm, CD = 5.0 cm, DA = 4.0 cm and $\angle B={45}^{\circ }$ [3 MARKS]