# NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry (EX 4.1) Exercise 4.1

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## NCERT Solutions for Class 8 Maths Chapter 4 Practical Geometry (EX 4.1) Exercise 4.1

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### Access NCERT Solution for Class 8 Maths Chapter 4 – Practical Geometry

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### Maths Class 8 Chapter 4 Exercise 4.1

In Mathematics subject of Class 8, students will perceive knowledge about how a Quadrilateral can only be determined by five measurements. Other relevant topics covered in the Chapter are as follows:

1) About Quadrilateral and how can it be constructed when the lengths of four sides and a diagonal is given in the question.

2) Similar to that when two diagonals and three sides are given in the question, how can a Quadrilateral be constructed

3) When two adjacent sides and three angles are known, constructing a Quadrilateral is being taught in the NCERT Textbook

4) Contrary to that, constructing a Quadrilateral when the three sides and two included angles are given

5) Some special cases involves around drawing a Square, Rhombus, Rectangle, and a Parallelogram at the end of the Chapter.

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### NCERT Solutions for Class 8

NCERT Solutions, like those for Class 8 Maths Chapter 4 Exercise 4.1, may be quite helpful when it comes to understanding the concepts covered in the curriculum. Students may use the Class 8 Maths Chapter 4 Exercise 4.1 Solutions to help them with any complex questions they might have about a subject, since they are exact and detailed. Students are advised by Extramarks to study from the NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.1, which can also be used as a resource for further research and to help students get ready for exams and quizzes. By having access to thorough explanations for the questions in the NCERT textbooks, teachers can ensure that their students have a thorough understanding of the concepts covered in the curriculum. Moreover, students may improve their problem-solving skills and measure their conceptual understanding by doing the problems from NCERT Solutions for Class 8 Maths Chapter 4 Exercise 4.1.

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 (i) Quadrilateral ABCD (ii) Quadrilateral JUMP AB = 4.5 cm JU = 3.5 cm BC = 5.5 cm UM = 4 cm CD = 4 cm MP = 5 cm AD = 6 cm PJ = 4.5 cm AC = 7 cm PU = 6.5 cm (iii) Parallelogram MORE (iv) Rhombus BEST OR = 6 cm BE = 4.5 cm RE = 4.5 cm ET = 6 cm EO = 7.5 cm

Ans

Steps of construction:

• Draw a line segment BC of length 5.5 cm.
• With B as centre, draw an arc of radius 4.5 cm.
• With C as centre, draw an arc of radius 7 cm intersecting the previous arc at point A.
• Join AB and AC.
• With C as centre, draw an arc of radius 4 cm at point D.
• With A as centre, draw an arc of radius 6 cm cuting the previous arc at D.

Therefore, ABCD is the required quadrilateral.

(ii)

Steps of construction:

• Draw a line segment PU of length 6.5 cm.
• With P as centre, draw an arc of radius 4.5 cm.
• With U as centre, draw an arc of radius 3.5 cm intersecting the previous arc at point J.
• Join PJ and JU.
• With P as centre, draw an arc of radius 5 cm at point M.
• With U as centre, draw an arc of radius 4 cm intersecting the previous arc at M.
• Join PM and MU.

Therefore, JUMP is the required quadrilateral.

(iii)

Steps of construction:

• Draw a line segment OR of length 6 cm.
• With O as centre, draw an arc of radius 7.5 cm.
• With R as centre, draw an arc of radius 4.5 cm intersecting the previous arc at point E.
• Join OE and RE.
• With O as centre, draw an arc of radius 4.5 cm at point M.
• With E as centre, draw an arc of radius 6 cm intersecting the previous arc at M.
• Join OM and EM.

Therefore, MORE is the required parallelogram.

(iv)

Steps of construction:

• Draw a line segment ET of length 6 cm.
• With E as centre, draw an arc of radius 4.5 cm.
• With T as centre, draw an arc of radius 4.5 cm intersecting the previous arc at point B.
• Join BE and BT.
• With E as centre, draw an arc of radius 4.5 cm at point S.
• With T as centre, draw an arc of radius 4.5 cm intersecting the previous arc at S.
• Join ES and TS.

Therefore, BEST is the required rhombus.