Well-designed AP Board Solutions Class 8 Maths Chapter 4 Practical Geometry Exercise 4.4 offers step-by-step explanations to help students understand problem-solving strategies.

## Practical Geometry Class 8 Exercise 4.4 Solutions – 8th Class Maths 4.4 Exercise Solutions

Question 1.

Construct the following quadrilaterals.

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

Solution:

Where DE = 4 cm, EA = 5 cm,

AR = 4.5 cm; ∠E = 60°, ∠A = 90°

Steps of construction:

1. Draw a line segment \(\overline{\mathrm{EA}}\) = 5 cm.

2. Make an angle 90° at the point ‘A’.

3. Draw an arc radius 4.5 cm (AR) from the point A’.

4. Make an angle 60° at the point ’E’.

5. Draw an arc of radius 4 cm (DE) from the point ‘E’.

6. The intersection points are ’R’ and ‘D’ respectively.

7. Then join \(\overline{\mathrm{ED}}\), \(\overline{\mathrm{DR}}\), \(\overline{\mathrm{AR}}\) to get quadrilateral DEAR.

ii) Quadrilateral TRUE.

TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75°, ∠U = 120°

Solution:

TR = 3.5 cm, RU = 3 cm, UE = 4 cm, ∠R = 75°, ∠U = 120°

Steps of construction:

1. Draw a line segment \(\overline{\mathrm{UE}}\) = 4 cm

2. Draw a line making an angle 120°at the point U’.

3. Draw an arc of radius of 3 cm from the point ‘U’.

4. Intersection of above two are the vertex ‘R’.

5. Now draw a line making an angle 75° at ’R’.

6. Draw an arc of radius of 3.5 cm from the point ‘R’.

7. Intersection of above two will be the vertex T.

8. Then join \(\overline{R U}\), \(\overline{R T}\) and \(\overline{T E}\).

9. Thus we get required quadrilateral TRUE.