**NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex 4.3**

NCERT Solutions for Class
8 Maths Chapter 4
Practical Geometry Ex 4.3 are the part of NCERT Solutions for Class 8 Maths.
Here you can find the NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry Ex
4.3**.**

**Ex 4.3 Class 8 Maths Question 1.**

Construct
the following quadrilaterals:**(i)**Quadrilateral MORE

MO = 6 cm, OR = 4.5 cm, ∠M = 60°, ∠O = 105°, ∠R = 105°

**(ii)**Quadrilateral PLAN

PL = 4 cm, LA = 6.5 cm, ∠P = 90°, ∠A = 110°, ∠N = 85°

**(iii)**Parallelogram HEAR

HE = 5 cm, EA = 6 cm, ∠R = 85°

**(iv)**Rectangle OKAY

OK = 7 cm, KA = 5 cm

**Solution:****
(i) **Let us draw a rough sketch first.

Step 1: Draw a line segment OR = 4.5 cm.

Step 2: Draw two angles of 105° each at O and R with the help of protractor.

Step 3: Cut the line segment OM = 6 cm.

Step 4:
Draw an angle of 60° at M to cut the ray through R at E.

Thus, MORE is the required quadrilateral.

**(ii) **Let us draw a rough sketch first.

Step 1:
Draw a line segment LA = 6.5 cm.

Step 2: Draw an angle of 75° at L and 110° at A
with the help of a protractor.

[∵ 360° – (110° + 90° + 85°) = 75°]

Step 3: Cut the line segment LP = 4 cm.

Step 4: Draw an angle of 90° at P which cuts the
ray through A at N.

Thus, PLAN is the required quadrilateral.

**(iii) **Let us draw a rough sketch first.

**Steps of Construction:**We know that the opposite sides of a parallelogram are equal.

Step 1:
Draw a line segment HE = 5 cm.

Step 2: Draw an angle of 85° at E and cut EA = 6
cm.

Step 3: Draw an arc with centre A and radius 5
cm.

Step 4: Draw another arc with centre H and
radius 6 cm to cut the previous arc at R.

Step 5: Join HR and AR.

Thus, HEAR is the required parallelogram.

**(iv) **Let us draw a rough sketch first.

**We know that each angle of a rectangle is 90° and opposite sides are equal.**

Step 1:
Draw a line segment OK = 7 cm.

Step 2: Draw the angle of 90° at K and cut KA =
5 cm.

Step 3: Draw an arc with centre O and radius 5
cm.

Step 4: Draw another arc with centre A and
radius 7 cm to cut the previous arc at Y.

Step 5: Join OY and AY.

Thus, OKAY is the required rectangle.

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