The detailed NCERT solutions for class maths (basic geometrical ideas) are given here. For the students of class 6 who are looking to do their best in their class 6 final exam, it is important for them to practice the questions from NCERT class 4 maths book. While solving the questions, students might face several doubts. Hence, the NCERT Solutions For Class 6 Maths Chapter 4 PDF are provided here which can be downloaded and checked at any time.

The NCERT class 6 maths solutions for Chapter 4 (Basic Geometrical Ideas) given here are extremely easy to understand and can help the students to clear all their doubts instantly. The solutions are given in steps to let the students understand the solutions thoroughly. These class 6 NCERT maths solutions for basic geometrical ideas can also help the students to develop a deeper understanding of the concepts and have an in-depth knowledge. Check out the complete exercise-wise NCERT Solutions For Class 6 Maths Chapter 4 (Basic Geometrical Ideas) below.

### NCERT Solutions Class 6 Maths Chapter 4 Exercises

- NCERT Solutions For Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.1
- NCERT Solutions For Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.2
- NCERT Solutions For Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.3
- NCERT Solutions For Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.4

__Exercise 4.1__

*Question 1:*

*Answer according to the figure given below*

**(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.*

**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*

** **

*(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)

(b)

(c)

(d)

*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.**

**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)

(b)

*Question 3*

*Draw a polygon and color its interior part.*

**Answer**

*Question 4*

*Is the given figure curve and closed?*

**Answer**

Yes, it is curve

Yes, it is closed.

**Exercise 4.3**

*Question 1*

*Give the name of the angles in the given figure*

**Answer**

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

*Question 2*

*Name the point(s) in the figure given below*

*(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)

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

(b)

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

(c)

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

(d)

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

(e)

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:**

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:**

Point L lies on the interior of the triangle.

In the Basic Geometrical Ideas chapter of class 4 NCERT maths book, 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 for the class 6 students.

In this chapter, students are introduced to wide range of important topics which include different terminologies like 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 crucial for the students to be able to comprehend higher level geometry topics in the later grades.

In the textbook, there are several activities and exercises for the students to help them be engaged with learning and have a better understanding 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 the NCERT Solutions For Class 6 Maths chapters. These NCERT solutions are extremely helpful for the students to clear their doubts instantly. Apart from that, the detailed solutions also help the students to learn the class 6 maths concepts in a better and more effective way.