NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas In daily life, you use and observe different objects like books, tiffin, table, pencil, ball, coin and many more. All such objects have different types of shapes. For example, the pen with which you write or the ruler which you use are straight. The coins, bangles, the ball are of round shape. Solutions of NCERT for class 6 maths chapter 4 Basic Geometrical Ideas is covering the solutions of all these kinds of shapes. In this particular chapter, you will learn more about the shapes around us. This is an important chapter in the context of geometry as it gives an idea about all the geometric shapes which are frequently seen everywhere. This chapter is to create a foundation of geometry for the upcoming classes. So the students must give proper attention to this topic while studying. CBSE NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas are created to help you when you are preparing for the exam as well as while doing homework. The chapter will introduce figures like triangle, quadrilaterals, circles, polygon, regular polygon, etc. This chapter is having a total of 23 questions in 6 exercises. NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas are covering all the questions' solutions in a comprehensive manner. Along with this chapter, you can take a look at NCERT solutions for other subjects and classes as well.
Q1 Name the line segments in the figure. Is A, the endpoint of each line segment?
The line segments in the figure are BA and AC.
A is one of the endpoints of both BA and AC.
Q1 Name the rays given in this picture.
The rays given in this picture are TA and TB.
Q2 Is T a starting point of each of these rays?
Yes. T is the starting point of each these rays.
(a) D, E, O, B and C
(b) DB or BD
(c)
(d)
Answer:
The given line can be named in the following 12 ways.
AB, BA, AC, CA, AD, DA, BC, CB, BD, DB, CD and DC.
(d) Two pairs of intersecting lines.
(a) Line containing point E is DE or FE.
(b) Line passing through A is AE.
(c) Line on which O lies is OC.
(d) Two pairs of inter secting lines are
(i) CO and AE
(ii) AE and EF
Q4 How many lines can pass through
(a) Infinite lines can pass through a given point.
(b) Only one line can pass through two given points.
(a) Q, M, O, N, P are points on the line .
(b) M, O, N are points on a line segment .
(c) M and N are end points of line segment .
(d) O and N are end points of line segment .
(e) M is one of the end points of line segment .
(g) Ray is different from ray .
(i) Ray is not opposite to ray .
(j) O is not an initial point of .
(k) N is the initial point of and .
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True
Q1 Classify the following curves as (i) Open or (ii) Closed
(a) Open
(b) Closed
(c) Open
(d) Closed
(e) Closed
Q4 Consider the given figure and answer the questions :
(a) Is it a curve? (b) Is it closed?
(a) Yes it is a curve.
(b) Yes it is closed.
Q5 Illustrate, if possible, each one of the following with a rough diagram:
(a) A closed curve that is not a polygon.
(b) An open curve made up entirely of line segments.
(a) A closed curve that is not a polygon is possible.
e.g an ellipse or a circle
(b) An open curve made up entirely of line segments
(c) A polygon with two sides is not possible since by definition polygons are closed figures which require at least three line segments to be made.
Q1 Name the angles in the given figure.
The angles in the given figure are
Q2 In the given diagram, name the point(s)
(a) Point A
(b) Points C, A and D
(c) Points E, B, O and F
Q3 Draw rough diagrams of two angles such that they have
(a) and have point O in common.
(b) and have points O and B in common.
(c) and have points O, D and B in common.
(d) and have points O, D, E and B in common.
(e) and have ray in common
Note: You will find the solutions at many sites saying that the angles required in (c) and (d) is not possible but that will be the case only if it is mentioned that the common points have to be on different rays.
The sketch of the required triangle is as follows
Point A is neither in the interior or the exterior of the triangle ABC. It is a vertex.
Q2 (a) Identify three triangles in the figure.
(b) Write the names of seven angles.
(c) Write the names of six line segments.
(d) Which two triangles have as common?
(a) Three triangles in the given figure are , and .
(b) Seven angles in the given figure are , , , , , and .
(c) Six line segments in the given figure are AB, BC, CA, AD, BD and DC.
(d) and have as common.
Sketch of the required quadrilateral PQRS is as follows.
Its diagonals are PR and QS which meet at the point O. The meeting point of the diagonals O is in the interior of the quadrilateral.
Q2 Draw a rough sketch of a quadrilateral KLMN. State,
(a) two pairs of opposite sides,
(b) two pairs of opposite angles,
(c) two pairs of adjacent sides,
(d) two pairs of adjacent angles.
The following is the sketch of a quadrilateral KLMN
(a) Two pairs of opposite sides are
(i) KL and MN.
(ii) LM and NK
(b) Two pairs of opposite angles are
(i) and
(ii) and
(c) Two pairs of adjacent sides are
(i) KL and LM
(ii) LM and MN
(d) Two pairs of adjacent angles are
(i) and
(ii) and
Q1 From the figure, identify :
(e) two points in the interior
(a) O is the centre of the circle.
(b) OA, OB and OC are three radii of the circle.
(c) AC is a diameter of the circle.
(d) ED is a chord of the circle.
(e) Points O and P are in the interior of the circle.
(f) Point Q is a point in the exterior of the circle.
(g) The shaded region OAB is a sector of the circle.
(h) The shaded region EDE is a segment of the circle.
Q2 (a) Is every diameter of a circle also a chord?
(b) Is every chord of a circle also a diameter?
(a) Yes, every diameter of a circle is also a chord.
(b) No, not every chord of a circle is a diameter.
In the abovedrawn circle
(a) O is the center of the circle.
(b) OR is a radius of the circle.
(c) PQ is a diameter of the circle.
(d) Shaded region OSQ is a sector of the circle.
(e) Shaded region ABC is a segment of the circle.
(f) K is a point in the interior of the circle.
(g) L is a point in the exterior of the circle.
(h) UV is an arc of the circle.
(a) Two diameters of a circle will necessarily intersect.
(b) The center of a circle is always in its interior.
(a)Two diameters of a circle will necessarily intersect  True.
(b) The center of a circle is always in its interior True.
Chapters No. 
Chapters Name 
Chapter  1 
NCERT solutions for class 6 maths chapter 1 Knowing Our Numbers 
Chapter  2 
Solutions of NCERT for class 6 maths chapter 2 Whole Numbers 
Chapter  3 
CBSE NCERT solutions for class 6 maths chapter 3 Playing with Numbers 
Chapter  4 
NCERT solutions for class 6 maths chapter 4 Basic Geometrical Ideas 
Chapter  5 
Solutions of NCERT for class 6 maths chapter 5 Understanding Elementary Shapes 
Chapter  6 

Chapter  7 

Chapter  8 

Chapter  9 
CBSE NCERT solutions for class 6 maths chapter 9 Data Handling 
Chapter 10 

Chapter 11 

Chapter 12 
CBSE NCERT solutions for class 6 maths chapter 12 Ratio and Proportion 
Chapter 13 

Chapter 14 
Solutions of NCERT for class 6 maths chapter 14 Practical Geometry 
Keep working hard always and happy learning!
1. Use the figure to name :
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
4. How many lines can pass through
(a) one given point?
(b) two given points?
4. Say true or false :
(a) Two diameters of a circle will necessarily intersect.
(b) The centre of a circle is always in its interior.