Punjab State Board PSEB 8th Class Maths Book Solutions Chapter 4 Practical Geometry Ex 4.4 Textbook Exercise Questions and Answers.

## PSEB Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.4

1. Construct the following quadrilaterals:

Question (i).

Quadrilateral DEAR

DE = 4 cm

EA = 5 cm

AR = 4.5 cm

∠E = 60°

∠A = 90°

Solution:

Steps of construction:

- Draw a line segment DE = 4 cm.
- At E, draw \(\overrightarrow{\mathrm{EM}}\) such that ∠DEM = 60°.
- With E as centre and radius = 5 cm, draw an arc intersecting \(\overrightarrow{\mathrm{EM}}\) at A.
- At A, draw \(\overrightarrow{\mathrm{AN}}\) such that ∠EAN = 90°.
- With A as centre and radius = 4.5 cm, draw an arc intersecting \(\overrightarrow{\mathrm{AN}}\) at R.
- Draw \(\overline{\mathrm{DR}}\).

Thus, DEAR is the required quadrilateral.

Question (ii).

Quadrilateral TRUE

TR = 3.5 cm

RU = 3 cm

UE = 4 cm

∠R = 75°

∠U = 120°

Solution:

Steps of construction :

- Draw a line segment TR = 3.5 cm.
- At R, draw a \(\overrightarrow{\mathrm{RM}}\) such that ∠TRM = 75°.
- With R as centre and radius = 3 cm, draw an arc intersecting \(\overrightarrow{\mathrm{RM}}\) at U.
- At U, draw \(\overrightarrow{\mathrm{UN}}\) such that ∠RUN = 120°.
- With U as centre and radius = 4 cm, draw an arc intersecting \(\overrightarrow{\mathrm{UN}}\) at E.
- Draw \(\overline{\mathrm{ET}}\).

Thus, TRUE is the required quadrilateral.