S.chand Class 8 Maths Solution Chapter 14 Construction of Quadrilaterals Exercise 14 F

 Exercise 14 F

Question 1

1. Construct a rectangle $A B C D$ given

1. $A B=6 \mathrm{~cm}, B C=5 \mathrm{~cm}$

2. $A B=5.8 \mathrm{~cm}, B C=4.6 \mathrm{~cm}$

3. $A B=6.3 \mathrm{~cm}, B C=5.1 \mathrm{~cm}$

4. $A B=7 \mathrm{~cm}, B C=5.5 \mathrm{~cm}$

5. $A B=6 \mathrm{~cm}, B D=8 \mathrm{~cm}$

6. $A B=6.4 \mathrm{~cm}, A C=7.8 \mathrm{~cm}$

7. Construct a rectangle $W X Y Z$ where $W X=5 \mathrm{~cm}$ and $W Y=7 \mathrm{~cm}$.

8. The sides of a rectangle are in the ratio $2: 3$, and perimeter is $20 \mathrm{~cm}$. Draw the rectangle.

II. Construct a square $A B C D$ :

1. Of side $4.5 \mathrm{~cm}$

2. Of side $5.4 \mathrm{~cm}$

3. $A B=6 \mathrm{~cm}$

4. One diagonal $=7 \mathrm{~cm}$

5. One diagonal $=8.3 \mathrm{~cm}$

6. $B D=7.5 \mathrm{~cm}$

III. Construct a parallelogram $A B C D$ to the following measurements :

1. $A B=6.5 \mathrm{~cm}, B C=5.2 \mathrm{~cm}$ and $\angle B=45^{\circ}$

2. $A B=6.5 \mathrm{~cm}, A D=5.5 \mathrm{~cm}, \angle D A B=70^{\circ}$

3. $A B=7 \mathrm{~cm}, B C=5.8 \mathrm{~cm}, \angle A=120^{\circ}$

4. $A B=6.8 \mathrm{~cm}, A C=8 \mathrm{~cm}, B D=7.3 \mathrm{~cm}$

5. $A B=7 \mathrm{~cm}, A C=6 \mathrm{~cm}, B D=9 \mathrm{~cm}$.

6. Construct a parallelogram $P Q R S$ given $P Q=8.2 \mathrm{~cm}, P R=9.5 \mathrm{~cm}, Q S=10.8 \mathrm{~cm}$.

IV. Construct a rhombus $A B C D$ given :

1. $A B=6 \mathrm{~cm}$ and $\angle A=50^{\circ}$

2. $A B=7 \mathrm{~cm}$ and $\angle A=60^{\circ}$

3. $A B=7.4 \mathrm{~cm}$ and $\angle B=72^{\circ}$

4. $A B=6.5 \mathrm{~cm}$ and $\angle B=100^{\circ}$

5. $A B=6.8 \mathrm{~cm}, A C=8 \mathrm{~cm}$

6. $A B=7 \mathrm{~cm}, A C=8.3 \mathrm{~cm}$

7. $A B=6.3 \mathrm{~cm}, B D=7.8 \mathrm{~cm}$

8. $A C=6 \mathrm{~cm}, B D=7 \mathrm{~cm}$

9. $A C=7 \mathrm{~cm}, B D=8.5 \mathrm{~cm}$

10. $A C=5.8 \mathrm{~cm}, B D=6.4 \mathrm{~cm}$

V. Construct the trapezium $P Q R S$ in which $P Q$ is parallel to $R S$, from the given measurements without using set-squares and protractor as far as possible.

1. $P Q=7 \mathrm{~cm}, Q R=4.5 \mathrm{~cm}, R S=3.5 \mathrm{~cm}, S P=4 \mathrm{~cm}$

2. $P S=4.7 \mathrm{~cm}, R S=8 \mathrm{~cm}, \angle P=120^{\circ}, \angle R=45^{\circ}$

3. $P Q=7.5 \mathrm{~cm}, Q R=4 \mathrm{~cm}, R S=3 \mathrm{~cm}, S P=3.5 \mathrm{~cm}$. Measure $\angle Q P S$.

4. $P Q=6 \mathrm{~cm}, P S=5.5 \mathrm{~cm}, \angle P=60^{\circ}, \angle Q=80^{\circ}$.

5. $P Q=5.6 \mathrm{~cm}, R S=9 \mathrm{~cm}, Q R=P S=4.8 \mathrm{~cm}$

Construct a trapezium $A B C D$ in which $A B$ and $D C$ are parallel and having:

6. $A B=5.5 \mathrm{~cm}, A D=4.5 \mathrm{~cm}, \angle A=65^{\circ}$ and $C D=4 \mathrm{~cm}$

7. $A B=5 \mathrm{~cm}, C D=7 \mathrm{~cm}, B C=4.5 \mathrm{~cm}$, and $A D=4.8 \mathrm{~cm}$

8. $A B=7.2 \mathrm{~cm}, B C=3.6 \mathrm{~cm}, C D=5 \mathrm{~cm}$ and $A D=3.8 \mathrm{~cm}$

9. $A B=9 \mathrm{~cm}, C D=5 \mathrm{~cm}, \angle B A D=70^{\circ}$ and $\angle D B A=50^{\circ}$.

10. $A B=6.5 \mathrm{~cm}, C D=10 \mathrm{~cm}, \angle C A B=45^{\circ}, \angle C B A=75^{\circ}$.