NCERT Class 8 Mathematics Solutions: Chapter 4 – Practical Geometry Exercise 4.4 Part 1

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Image of Making in Angle 45 Degree And 90 Degree for Practical Geometry

Making an Angle 45 Degree and 90 Degree

Image of Making in Angle 45 Degree And 90 Degree for Practical Geometry

Question: 1 Construct the following quadrilaterals:

(i) Quadrilateral DEAR

(ii) Quadrilateral TRUE

Answer:

(i)

Given,

To construct, Quadrilateral DEAR

Step of Construction:

(1) A sketch of this quadrilateral can be drawn as follows.

Image:

Quadrilateral DEAR

Given this figure Quadrilateral DEAR

(2) A line segment DE 4 cm and an angle of at point E. As vertex A is 5 cm away from vertex E, cut a line segment EA of 5 cm from this ray.

Image:

Draw a Line Segment DE 4 Cm and an Angle of 60 Degree at Point E

Given this figure a line segment DE 4 cm and an angle of 60 degree at point E

(3) A draw an angle of at point A. As vertex R is 4.5 cm away from vertex A, cut a line segment RA of 4.5 cm from this ray.

Image:

Draw Angle of 90 Degree at Point A

Given this figure draw angle 90 degree of at point A

(4) Join D to R.

Image:

This Figure is Join D to R

Given this figure join D to R

DEAR is the required quadrilateral.

(ii)

Given,

To construct, Quadrilateral TRUE

Step of Construction:

(1) A quadrilateral can be drawn as follow.

Image:

A Figure is Quadrilateral TRUE

Given this figure is quadrilateral TRUE

(2) Draw a line segment RU 3 cm and an angle at point U. As vertex E is 4 cm away from vertex U, cut a line segment UE of 4 cm from this ray.

Image:

Draw a Line RU 3 Cm and an Angle 120 Degree at Point U

Given line RU 3 cm and an angle 120 degree at point U

(3) Draw an angle of at point R. As vertex T is 3.5 cm away from vertex R, cut a line segment RT of 3.5 cm from this line

Image:

An Angle of 75 Degree at Point R

Given this figure an angle of 75 degree at point R

(4) Join T to E.

Image:

Join T to E in Given Figure

Given this figure join T to E