NCERT Solutions For Class 6 Maths Chapter 4

NCERT Solutions For Class 6 Maths Chapter 4 PDF Free Download

NCERT Solutions For Class 6 Maths Chapter 4, Basic Geometrical Ideas, is given here in downloadable PDF format. For the students of class 6 who are looking to do their best in their final exam in 2019, it is important for them to practice the questions from NCERT book. But, while solving the questions, students might face several difficulties. Therefore, students are provided here with solutions, based on CBSE syllabus (2018-2019) by our experts to resolve their queries.

The NCERT Solutions Class 6 Maths, Basic Geometrical Ideas Chapter, given here, is extremely easy to understand and can help the students to clear all their doubts instantly. The solutions are explained with the best possible methods for each question. These solved questions will be helpful for the students to know the logic and ideas explained in geometry. We are also providing NCERT solutions for class 6 Science subject, which gives solutions for all the chapters.

Class 6 Maths NCERT Solutions for Basic Geometrical Ideas

In the Basic Geometrical Ideas chapter of class 6, students are introduced to a lot of important concepts related to geometry. Geometry is an integral part of the entire mathematics domain and so, this chapter is of utmost importance.

In this chapter, students are introduced to a wide range of important topics which include;

  • Line
  • Line segment
  • Intersecting lines
  • Parallel lines
  • Rays
  • Angles, and
  • Polygons along with their different types (quadrilaterals, triangles, and circles).

All these topics are extremely significant for the students to be able to comprehend higher level geometry topics in the later grades.

NCERT Solutions Class 6 Maths Chapter 4 Exercises

Apart from these students can also go through the online learning materials available on our website such as notes, books, worksheets. Students are advised to solve previous year question papers and sample papers as well to know the weightage of class 6 Maths chapter 4.

NCERT Questions For Basic Geometrical Ideas


Exercise 4.1


 

Question 1:

Answer according to the figure given below

1

(a)  A line

(b) Four rays

(c)  Five points

(d) Five line segments

Answer:

(a)  \(\overleftrightarrow{CE}\)

(b)  \(\overrightarrow{AC}\), \(\overrightarrow{AB}\), \(\overrightarrow{AD}\), \(\overrightarrow{AE}\)

(c)   Five points are A, B, C, D and E.

(d)  \(\bar{ED}\),\(\bar{DA}\), \(\bar{AC}\), \(\bar{AB}\), \(\bar{CD}\)

 

Question 2

Name all the possible (twelve) lines choosing only two letters at a time from the figure given below.

4

Answer

\(\overleftrightarrow{PQ}\), \(\overleftrightarrow{QR}\), \(\overleftrightarrow{RS}\), \(\overleftrightarrow{QP}\), \(\overleftrightarrow{RQ}\), \(\overleftrightarrow{SR}\), \(\overleftrightarrow{PS}\), \(\overleftrightarrow{SP}\), \(\overleftrightarrow{PR}\), \(\overleftrightarrow{RP}\), \(\overleftrightarrow{QS}\), \(\overleftrightarrow{SQ}\)

 

 

Question 3

Answer according to the figure

3                            

(a)  Line passing through A.

(b)  Line containing point D.

(c)  Two pairs of intersecting lines.

(d)  Line on which X lies.

Answer

(a)  \(\overleftrightarrow{AD}\)

(b)  \(\overleftrightarrow{AD}\)

(c)  \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{XY}\), \(\overleftrightarrow{AD}\) and \(\overleftrightarrow{ED}\).

(d)  \(\overleftrightarrow{XY}\)

 

Question 4

How many lines can pass through (i) one point (ii) two points?

Answer

(i)    There are infinite lines which can pass through one point.

(ii)    There is only one line which can pass through two given points.

 

Question 5

Draw figures with label according to the information given below

(a)  Point X lies on\(\bar{YZ}\).

(b)  \(\overleftrightarrow{AB}\) and \(\overleftrightarrow{CD}\) intersect at O.

(c)  Line m contains X and Y but not A.

(d)  \(\overleftrightarrow{TP}\) and \(\overleftrightarrow{TS}\) meet at T.

 Answer

 

(a)

4

(b)

5

(c)

6

(d)

7

 

Question 6

Consider the figure given below and answer whether the following statements are true or false.

(a)  T, Q, O, P, S are points lying on the line \(\overleftrightarrow{QP}\).

(b)  Q, O and P are points on \(\bar{QP}\).

(c)  Q and P are end points of \(\bar{QP}\).

(d)  O and P are end points on \(\bar{OS}\).

(e)  Q is one of the end points of \(\bar{TO}\).

(f)  Q is point on \(\vec{OS}\).

(g)  Ray OS is different from \(\vec{TS}\).

(h)  Ray OS is same as \(\vec{OQ}\).

(i)   Ray OQ is not opposite to \(\vec{OS}\).

(j)   O is not an initial point of \(\vec{OS}\).

(k)  P is the initial point of \(\vec{PS}\) and \(\vec{PQ}\).

Answer

(a)  True

(b)  True

(c)  True

(d)  False

(e)  False

(f)  False

(g)  True

(h)  False

(i)   False

(j)   False

(k)  True

 

 

 Exercise 4.2


 

Question 1

Answer whether the following figures are closed or open.

9

Answer

(a)  Open

(b)Closed

(c)Open

(d)Closed

(e)Closed

 

Question 2

Draw diagrams according to the given instructions

(a)  Closed  (b)Open

Answer

(a)

10
(b)

11

 

Question 3

Draw a polygon and color its interior part.

Answer

12

 

 

Question 4

Is the given figure curve and closed?

13

Answer

Yes, it is curve

Yes, it is closed.

 

 

 

 

Exercise 4.3


 

Question 1

Give the name of the angles in the given figure

14

Answer

\(\angle CDA\), \(\angle DAB\), \(\angle ABC\), \(\angle BCD\)

 

Question 2

Name the point(s) in the figure given below

15

(a)  Interior angle of\(\angle POS\)

(b)Exterior angle of \(\angle ROT\)

(c)On \(\angle ROT\)

Answer

(a)Q

(b)U, Q, P

(c)R, S, T, O

 

Question 3

Draw diagrams having two angles such that they have

(a)One point common

(b)Two points common

(c)Three points common

(d)Four points common

(e)One ray common

Answer

(a)

16

\(\angle QOS\) and \(\angle POR\) have O common point.

 

(b)

17

\(\angle ZOY\) and \(\angle YOX\) have O and Y common points.

 

(c)

18

\(\angle YOX\) and \(\angle YOZ\) have Y, W and O common points.

 

(d)

19

\(\angle COP\) and \(\angle COQ\) have C, B, A and O common points.

 

(e)

20

Ray \(\vec{OR}\) is common between \(\angle QOR\) and \(\angle POR\).

 

 

Exercise 4.4


 

 Question 1:

 Draw a sketch of triangle PQR. Mark a point A interior and a point B in its exterior. Is the point Q is in its interior or in its exterior?

Answer:

21

Point Q lies on the \(\Delta PQR\) .

 

Question 2:

 Draw a sketch of triangle XYZ. Mark a point L interior and a point M in its exterior. Is the point L is in its interior or in its exterior?

Answer:

22

Point L lies on the interior of the triangle.

In the textbook, there are several activities and exercises for the students to help them be engaged with learning and have a better perception of the concepts. It is important for the students to practice all the exercise questions from the book and refer to these class 6 geometry solutions in case of any doubts. The activities also help the students to relate the concepts included in the book with the practical world.

Stay tuned with BYJU’S to check all chapters of NCERT Solutions For Class 6 Maths. These solutions are extremely helpful for the students to clear their doubts instantly for all the Maths topics present in this class. Also, download BYJU’S-The Learning App and get learning videos and exceptionally interesting contents for geometry and related topics.

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