Punjab State Board PSEB 8th Class Maths Book Solutions Chapter 4 Practical Geometry Ex 4.1 Textbook Exercise Questions and Answers.
PSEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.1
1. Construct the following quadrilaterals:
Question (i).
Quadrilateral ABCD.
AB = 4.5 cm,
BC = 5.5 cm,
CD = 4 cm,
AD = 6 cm,
AC = 7 cm.
Solution :
Steps of construction:
- Draw a line segment AB = 4.5 cm.
- With A as centre and radius = 7 cm, draw an arc.
- With B as centre and radius = 5.5 cm, draw another arc to intersect previous arc at C.
- With A as centre and radius 6 cm draw an arc.
- With centre at C and radius 4 cm, draw another arc to intersect previous arc at D.
- Draw \(\overline{\mathrm{BC}}, \overline{\mathrm{CD}}, \overline{\mathrm{AD}}\) and \(\overline{\mathrm{AC}}\).
Thus, ABCD is the required quadrilateral.
Question (ii).
Quadrilateral JUMP
JU = 3.5 cm,
UM = 4 cm,
MP = 5 cm,
PJ = 4.5 cm,
PU = 6.5 cm.
Solution:
Steps of construction :
- Draw a line segment JU = 3.5 cm.
- With J as centre and radius = 4.5 cm, draw an arc.
- With U as centre and radius = 6.5 cm, draw another arc to intersect previous arc at P
- With U as centre and radius = 4 cm draw an arc.
- With P as centre and radius 5 cm, draw an arc which intersects previous arc at M.
- Draw \(\overline{\mathrm{JP}}, \overline{\mathrm{UM}}, \overline{\mathrm{MP}}\) and \(\overline{\mathrm{UP}}\).
Thus, JUMP is the required quadrilateral.
Question (iii).
Parallelogram MORE ?
OR = 6 cm,
RE = 4.5 cm,
EO = 7.5 cm.
Solution:
[Note: □ MORE is a parallelogram. So length of opposite sides are equal. ]
∴ RE = MO = 4.5 cm; OR = ME = 6 cm
Steps of construction:
- Draw a line segment MO = 4.5 cm.
- With M as centre and radius = 6 cm, draw an arc.
- With O as centre and radius = 7.5 cm, draw another arc to intersect the previous arc at E.
- With O as centre and radius = 6 cm, draw an arc.
- With E as centre and radius = 4.5 cm, draw another arc to intersect the previous arc at R.
- Draw \(\overline{\mathrm{ME}}, \overline{\mathrm{OR}}, \overline{\mathrm{RE}}\) and \(\overline{\mathrm{OE}}\).
Thus, MORE is the required parallelogram.
Question (iv).
Rhombus BEST
BE = 4.5 cm,
ET = 6 cm.
Solution:
[Note : BEST is a rhombus. So length of all four sides are equal.]
BE = 4.5 cm
∴ ES = ST = TB = 4.5 cm
ET = 6 cm (Given)
Steps of construction:
- Draw a line segment BE = 4.5 cm.
- With B as centre and radius = 4.5 cm, draw an arc.
- With E as centre and radius = 6 cm, draw another arc to intersect the previous arc at T.
- With E as centre and radius = 4.5 cm, draw an arc.
- With T as centre and radius = 4.5 cm, draw another arc to intersect previous arc at S.
- Draw \(\overline{\mathrm{BT}}, \overline{\mathrm{ES}}, \overline{\mathrm{ST}}\) and \(\overline{\mathrm{ET}}\).
Thus, BEST is the required quadrilateral.