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

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.