# Class 8 NCERT Solutions – Chapter 4 Practical Geometry – Exercise 4.4

**Question 1: Construct the following quadrilaterals.**

**(i) Quadrilateral DEAR****DE = 4 cm ****EA = 5 cm ****AR = 4.5 cm****∠E = 60°****∠A = 90°**

**Solution:**

Steps of construction:

Step 1:Draw a line segment DE of 4 cm.Step 2:Construct an angle of 60° at E.Step 3:From E draw an arc of 5 cm and intersect the arc with the angle line, mark the intersection point as A.

Step 4:Draw a 90° angle at A.Step 5:Draw an arc of 4.5 cm from A and cut the angle line at R.

Step 6:Join DR.

Hence, we have the required quadrilateral DEAR.

**(ii) Quadrilateral TRUE****TR = 3.5 cm****RU = 3 cm****UE = 4 cm****∠R = 75°****∠U = 120°**

**Solution:**

Steps of construction:

Step 1:Draw a line TR of 3.5 cm.Step 2:From R construct an angle of 75°.Step 3:Draw an arc of 3 cm from R and cut the angle line at U.

Step 4:From U construct an angle of 120Step 5:Draw an arc of 4 cm from U and cut the angle line at E.

Step 6:Join TE.

Hence we have the required Quadrilateral TRUE.

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