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

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**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:

(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:

(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:

(4) Join D to R.

Image:

DEAR is the required quadrilateral.

**(ii)**

Given,

To construct, Quadrilateral TRUE

**Step of Construction:**

(1) A quadrilateral can be drawn as follow.

Image:

(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:

(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:

(4) Join T to E.

Image: