NCERT Solutions For Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
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| Textbook | NCERT |
| Board | CBSE |
| Category | NCERT Solutions |
| Class | Class 8 |
| Subject | Maths |
| Chapter | Chapter 4 |
| Exercise | Class 8 Chapter 4 Practical Geometry Exercise 4.1 |
| Number of Questions Solved | 6 |
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
NCERT TEXTBOOK EXERCISES
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) Steps of Construction
- Draw AB 4.5 cm
- With A as centre and radius AC = 7 cm, draw an arc.
- With B as center and radius BC = 5.5 cm, draw another arc to intersect the arc drawn in step (2) at C.
- With A as center and radius AD = 6 cm, draw an arc on the side of AC, opposite to that of B.
- With C as center and radius CD = 4 cm, draw another arc to intersect the arc drawn in step (4) at D.
- Join BC, CD, DA, and AC.
Then, ABCD is the required quadrilateral.
(ii) Steps of Construction
- Draw JU = 3.5 cm
- With J as center and radius JP = 4.5 cm, draw an arc.
- With U as center and radius UP = 6.5 cm, draw another arc to intersect the arc drawn in step 2 at P.
- With U as center and radius UM = 4 cm, draw an arc on the side of PU opposite to that of J.
- With P as center and radius PM = 5 cm, draw another arc to intersect the arc drawn in step 4 at M.
- Join UM, MP, PJ, and UP.
Then, JUMP is the required quadrilateral.
(iii) Steps of Construction
[We know that in a parallelogram, opposite sides are equal in length.
∴ MO = ER = 4.5 cm and ME – OR = 6 cm]
- Draw MO = 4.5 cm
- With M as center and radius ME = 6 cm, draw an arc.
- With O as center and radius OE = 7.5 cm, draw an arc to intersect the arc drawn in step 2 at E.
- With O as center and radius OR = 6 cm, draw an arc on the side of OE opposite to that of M.
- With E as center and radius ER = 4.5 cm, draw another arc to intersect the arc drawn in step 4 at R.
- Join OR, RE, EM, and EO.
Then, MORE is the required parallelogram.
(iv) Steps of Construction
[We know that in a rhombus, all the sides are equal in length.
∴ BE = ES = ST = TB = 4.5 cm]
- Draw BE = 4.5 cm
- With B as centre and radius BT = 4.5 cm, draw an arc.
- With E as center and radius
ET = 6 cm, draw another arc to intersect the arc drawn in step 2 at T. - With E as center and radius
ES = 4.5 cm, draw an arc on the side of ET opposite to that of B. - With T as center and radius
TS = 4.5 cm, draw another arc to
intersect the arc drawn in step 4 at S. - Join ES, ST, TB, and TE.
Then, BEST is the required rhombus.
NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Exercise 4.1 PDF
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