KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
KSEEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
KSEEB 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 = 4.4 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) A rough sketch will help us to draw a quadrilateral easily:
Steps of construction:
- Take a line segment AC = 7 cm.
- Draw an arc of radius 4.5 cm taking A as centre.
- Draw an arc of radius 5.5 cm taking C as centre.
- These two arcs intersect, let this point be B.
- Now, ABC is a triangle.
- Repeat the procedure to draw ∆ADC by taking sides AD = 6 cm and CD = 4.4 cm
- ABCD is a required quadrilateral.
Steps of construction:
- Take a line segment JM = 6.5 cm.
- Draw an arc of radius 3.5 cm taking J as centre.
- Draw an arc of radius 4 cm taking M as centre.
- These two arcs intersect each other at U.
- Now, JUM is a triangle.
- Repeat the procedure to draw ∆JPM by taking sides MP = 5 cm and JP = 4.5 cm
- JUMP is a required quadrilateral.
In a parallelogram opposite sides are equal.
∴ OR = ME = 6 cm and RE = OM = 4.5 cm
Steps of construction:
- Draw a line segment OE = 7.5 cm.
- Draw an arc of radius 6 cm, taking 0 as centre.
- Draw an arc of radius 4.5 cm, taking E as centre.
- Both these arcs intersect at R.
- Now, ORE is a triangle.
- Repeat the procedure by taking ME = 6 cm and OM = 4.5 cm.
- MORE is a required parallelogram.
(iv) Draw a rough sketch of rhombus BEST. In a rhombus all sides are equal.
Steps of construction:
- Draw a line segment ET = 6 cm.
- Taking radius 4.5 cm, draw an arc from E.
- Taking radius 4.5 cm, draw an arc from T also.
- Both these arcs intersect at B.
- BET is a triangle.
- Repeat the procedure to draw ∆SET by taking ES = 4.5 and ST = 4.5.
- BEST is a required rhombus.
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