- Rational Numbers
- Linear Equations in One Variable
- Understanding Quadrilaterals
- Practical Geometry
- Data Handling
- Squares and Square Roots
- Cubes and Cube Roots
- Comparing Quantities
- Algebraic Expressions and Identities
- Visualising Solid Shapes
- Mensuration
- Exponents and Powers
- Direct and Inverse Proportions
- Factorisation
- Introduction to Graphs
- Playing with Numbers
NCERT Solutions Class 8 Mathematics Solutions for Exercise 4.3 in Chapter 4 - Practical Geometry
Construct the following quadrilaterals.
(i) Quadrilateral MORE
MO = 6 cm
OR = 4.5 cm
\begin{array}{l} \angle \mathrm{M}=60^{\circ} \\ \angle \mathrm{O}=105^{\circ} \\ \angle \mathrm{R}=105^{\circ} \end{array}
(ii) Quadrilateral PLAN
PL = 4 cm
LA = 6.5 cm
\begin{array}{l} \angle \mathrm{P}=90^{\circ} \\ \angle \mathrm{A}=110^{\circ} \\ \angle \mathrm{N}=85^{\circ} \end{array}
(iii) Parallelogram HEAR
HE = 5 cm
EA = 6 cm
\angle \mathrm{R}=85^{\circ}
(iv) Rectangle OKAY
OK = 7 cm
KA = 5 cm
(i) Rough Figure:
(1) Draw a line segment MO of 6 cm and an angle of 105^{\circ} at point O. As vertex R is 4.5 cm away from the vertex O, cut a line segment OR of 4.5 cm from this ray.
(2) Again, draw an angle of 105^{\circ} at point R.
(3) Draw an angle of 60^{\circ} at point M. Let this ray meet the previously drawn ray from R at point E.
(ii) The sum of the angles of a quadrilateral is 360^{\circ}.
In quadrilateral PLAN,
\begin{array}{l} \angle \mathrm{P}+\angle \mathrm{L}+\angle \mathrm{A}+\angle \mathrm{N}=360^{\circ} \\ 90^{\circ}+\angle \mathrm{L}+110^{\circ}+85^{\circ}=360^{\circ} \\ 285^{\circ}+\angle \mathrm{L}=360^{\circ} \\ \angle \mathrm{L}=360^{\circ}-285^{\circ}=75^{\circ} \end{array}
Rough figure :
(1) Draw a line segment PL of 4 cm and draw an angle of 75^{\circ} at point L. As vertex A is 6.5 cm away from vertex L, cut a line segment LA of 6.5 cm from this ray.
(2) Again draw an angle of 110^{\circ} at point A.
(3) Draw an angle of 90^{\circ} at point P. This ray will meet the previously drawn ray from A at point N.
(iii) Rough Figure:
(1) Draw a line segment HE of 5 cm and an angle of 85^{\circ} at point E. As vertex A is 6 cm away from vertex E, cut a line segment EA of 6 cm from this ray.
(2) Vertex R is 6 cm and 5 cm away from vertex H and A respectively. By taking radius as 6 cm and 5 cm, draw arcs from point H and A respectively. These will be intersecting each other at point R.
(iv) Rough Figure:
(1) Draw a line segment OK of 7 cm and an angle of 90^{\circ} at point K. As vertex A is 5 cm away from vertex K, cut a line segment KA of 5 cm from this ray.
(2) Vertex Y is 5 cm and 7 cm away from vertex O and A respectively. By taking radius as 5 cm and 7 cm, draw arcs from point O and A respectively. These will be intersecting each other at point Y.
(3) Join Y to A and O.
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