AP State Syllabus AP Board 8th Class Maths Solutions Chapter 3 Construction of Quadrilaterals Ex 3.3 Textbook Questions and Answers.

## AP State Syllabus 8th Class Maths Solutions 3rd Lesson Construction of Quadrilaterals Exercise 3.3

Construct the quadrilateral with the measurements given below :

Question a).

Quadrilateral GOLD: OL = 7.5 cm, GL = 6 cm, LD = 5 cm, DG = 5.5 cm and OD = 10 cm.

(Ex 3.3, Page No. 72)

Solution:

In a quadrilateral GOLD, Rough Diagram

OL = 7.5 cm, GL = 6 cm

LD = 5 cm, DG = 5.5 cm, OD = 10 cm

Construction Steps:

- Draw a line segment \(\overline{OL}\) equal to radius 7.5 cm.
- With the centres O, L draw arcs with radius 10 cm and 5 cm respectively. These two arcs meet at point ‘D’.
- With the centres L, D draw arcs equal to 6 cm and 5.5 cm respectively. These two arcs meet at point ‘G’.
- Join O, G and L, G. Also join O, D and L, D and G, D.
- ∴ The required quadrilateral GOLD is formed.

Question b).

Quadrilateral PQRS: PQ = 4.2 cm, QR = 3 cm, PS = 2.8 cm, PR = 4.5 cm and QS = 5 cm.

Solution:

In a quadrilateral PQRS

PQ = 4.2 cm PS = 2.8 cm

QR = 3 cm PR = 4.5 cm

QS = 5 cm

Construction Steps:

- Draw a line segment \(\overline{P Q}\) with radius 4.2 cm.
- With the centres P, Q draw arcs equal to the radius 4.5 cm, 3 cm respectively. These two arcs meet at point R’. Join P, R and Q, R.
- With the centres Q, P draw arcs equal to the radii 5 cm and 2.8 cm respectively. These two arcs meet at point ‘S’.
- Join P, S and Q, S and S, R.
- ∴ The required PQRS quadrilateral is formed.