RBSE Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1

Rajasthan Board RBSE Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1 Textbook Exercise Questions and Answers.

RBSE Class 8 Maths Solutions 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
Answer:
First we draw a rough sketch of a quadrilateral ABCD and write down its dimensions as shown.

We divide it into two conveniently constructible triangles ABC and ACD.

Steps of construction:

1. We draw AC = 7 cm
2. With A as centre and radius 4.5 cm, we draw an arc (below AC)
3. With C as centre and radius 5.5 cm, we draw another arc cutting the previous arc at B.
4. We join AB and BC.
5. With A as centre and radius 6 cm., we draw an arc (above AC)
6. With C as centre and radius 4 cm, we draw another arc cutting the previous arc at D.
7. We join AD and CD.

Then we get the required quadrilateral ABCD.

(ii) Quadrilateral JUMP
JU = 3.5cm
UM = 4cm
MP = 5 cm
PJ = 4.5cm
PU = 6.5 cm
Answer:
First we draw a rough sketch of a quadrilateral JUMP and write down its dimensions as shown.

We divide it into two conveniently constructible triangles PJU and PMU.

Steps of construction:

1. First we draw PU = 6.5 cm
2. With P as centre and radius 4.5 cm, we draw an arc below PU.
3. With U as centre and radius 3.5 cm, we draw another arc cutting the previous arc at J.
4. We join PJ and JU.
5. With P as centre and radius 5 cm, we draw an arc above PU.
6. With U as centre and radius 4 cm, we draw another arc cutting the previous arc at M.
7. Now we join PM and UM.

Hence we get JUMP as the required triangle.

(iii) Parallelogram MORE
OR = 6 cm
RE = 4.5 cm
EO = 7.5 cm
Answer:
We draw a rough sketch of the required parallelogram and write down the given dimensions.

Steps of construction:

1. First we draw OR = 6 cm.
2. With O as centre and radius 7.5 cm, we draw an arc. 6cm
3. With R as centre and radius 4.5 cm, we draw another arc to cut the previous arc of E.
4. Now we join 0E and RE
5. With O as centre and radius 4.5 cm, we draw an arc.
6. With E as Centre and radius 6 cm, we draw another arc to cut the previous arc at M.
7. Now we join MO and ME.

Hence we got the required parallelogram MORE.

(iv) Rhombus BEST
BE = 4.5 cm
ET = 6 cm
Answer:
We draw a rough sketch of the required rhombus and write down the given dimensions.

Steps of construciton:

1. First we draw BE = 4.5 cm.
2. With B as centre and radius 4.5 cm, we draw an arc.
3. With E as centre and radius 6 cm, we draw another arc to cut the previous arc at T.
4. Now we join BT and ET.
5. With T afs centre and radius 4.5 cm we draw an arc.
6. With E as centre and radius 4.5 cm, we draw another arc to cut the Previous arc at S.
7. Now we join TC B 4.5cm and ES.

Hence we get the required rhombus.