NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1 are part of NCERT Solutions for Class 8 Maths. Here we have given NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1.
- Practical Geometry Class 8 Ex 4.2
- Practical Geometry Class 8 Ex 4.3
- Practical Geometry Class 8 Ex 4.4
- Practical Geometry Class 8 Ex 4.5
| Board | CBSE |
| Textbook | NCERT |
| Class | Class 8 |
| Subject | Maths |
| Chapter | Chapter 4 |
| Chapter Name | Practical Geometry |
| Exercise | Ex 4.1 |
| Number of Questions Solved | 1 |
| Category | NCERT Solutions |
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
Question 1.
Construct the following quadrilaterals:
(i) Quadrilateral ABCD
AB = 4.5 cm
BC = 5.5 cm
CD = 4 cm
AD = 6 cm
AC = 7 cm
(ii) Quadrilateral JUMP
JU = 3.5 cm
UM = 4 cm
MP = 5 cm
PJ = 4.5 cm
PU 6.5 cm
(iii) Parallelogram MORE
OR = 6 cm
RE = 4.5 cm
EO = 7.5 cm
(iv) Rhombus BEST
BE = 4.5 cm
ET = 6 cm
Solution.
(i) First we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown.
We may divide it into two conveniently constructible As ABC and ACD.
Steps of Construction :
- Draw AC = 7 cm.
- With A as centre and radius 4.5 cm, draw an arc (below AC).
- With C as centre and radius 5.5 cm, draw another arc cutting the previous arc at B.
- Join AB and BC.
- With A as centre and radius 6 cm, draw an arc (above AC).
- With C as centre and radius 4 cm, draw another arc cutting the previous arc at D.
- Join AD and CD.
Then, ABCD is the required quadrilateral.
(ii) First we draw a rough sketch of a quadrilateral JUMP and write down its dimensions as shown.
We may divide it into two conveniently constructible As PJU and PMU.
Steps of Construction :
- Draw PU = 6.5 cm.
- With P as centre and radius 4.5 cm, draw an arc (below PU).
- With U as centre and radius 3.5 cm, draw another arc cutting the previous arc at J.
- Join PJ and JU.
- With P as centre and radius 5 cm, draw an arc (above PU).
- With U as centre and radius 4 cm, draw another me cutting the previous arc at M.
- Join PM and UM.
Then, JUMP is the required quadrilateral.
(iii) Draw a rough sketch of the’ required parallelogram and write down the given dimensions.
Steps of Construction :
- Draw OR = 6 cm.
- With O as centre and radius 7.5 cm, draw an arc.
- With R as centre and radius 4.5 cm, draw another arc to cut the previous arc at E.
- Join OE and RE.
- With 0 as centre and radius 4 5 cm 4.5 cm, draw an arc.
- With E as centre and radius 6 cm, draw another arc to cut the previous arc at M.
- Join MO and ME.
Then, MORE is the required parallelogram.
(iv) Draw a rough sketch of the required rhombus and write down the given dimensions.
Steps of Construction :
- Draw BE = 4.5 cm.
- With B as centre and radius 4.5 cm, draw an arc. 4 5 cm
- With E as centre and radius 6 cm, draw another arc to cut the previous arc at T.
- Join ST and ET.
- With T as centre and radius 4.5 cm, draw an arc.
- With E as centre and radius 4.5 cm, draw another arc to cut the previous arc at S.
- Join TS and ES.
Then, BEST is the required rhombus.
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