NCERT Class 8 Mathematics Solutions: Chapter 4 – Practical Geometry Exercise 4.3 Part 1

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Showing image of some rule of angles for practical geometry

Image of Some Rule of Angles for Practical Geometry

Showing image of some rule of angles for practical geometry

Question: 1 Construct the following quadrilaterals:

(i) Quadrilateral MORE

,

(ii) Quadrilateral PLAN

(iii) Parallelogram HEAR

(iv) Rectangle OKAY

Answer

(i)

Given, ,

To construct, a quadrilateral MORE.

Step of Construction:

(a) Draw a line segment .

(b) Construction and taking radius , draw an arc taking O as centre, which intersects at R.

(c) Also construct an angle at R and make the side RE.

(d) Construct another angle of at point M and make the side ME. Both sides ME and RE intersect at E.

It is the required quadrilateral MORE.

Image:

A Figure is Quadrilateral MORE

Given, figure is quadrilateral MORE

(ii)

Given, ,

To construct, quadrilateral PLAN

Step of Construction:

(1) The sum of Quadrilateral angle is

(2) Draw in line and quadrilateral is below.

Image:

A Figure is Quadrilateral PLAN

Given this figure Quadrilateral PLAN

(3) Draw an angle of at point L. As vertex A is 6.5 cm away from vertex L, cut a line segment LA of 6.5 cm.

Image:

A Draw an Angle of 75 Degree

In given figure draw an angle of 75 degree at point L

(4) Again draw an angle of at point A.

Image:

A Draw an Angle of 110 Degree

In given figure draw an angle of 110 degree at point A

(5) Draw an angle of at point P. this ray will meet the previously drawn ray from A at point N.

Image

A Draw an Angle of 90 Degree

Given this figure draw an angle of 90 degree at point P

PLAN is required Quadrilateral.