# NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

**NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas- **This NCERT Class 6 solution for chapter 4 will introduce figures like- triangle, quadrilaterals, circles, polygon, regular polygon, etc, which you often observe in your day-to-day lives. NCERT solutions for Class 6 Maths chapter 4 Basic Geometrical Ideas covers the solutions of all these kinds of shapes. In this particular chapter of NCERT, you will learn more about the shapes around us. NCERT Class 6 solution for chapter 4 Basic Geometrical Ideas will help in creating a foundation of geometry for the upcoming classes. Before going through the Class 6 Maths NCERT solutions, check the NCERT Syllabus for Class 6 Maths to get the basic outline of the topics. CBSE NCERT solutions for Class 6 Maths chapter 4 is created to help you when you are while you. 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 given in the NCERT Books for Class 6 Maths. Along with Class 6 NCERT solution for Maths chapter 4, you can take a look at NCERT Solutions for other subjects and classes as well.

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** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Topic: Line Segment **

** Q1 ** Name the line segments in the figure. Is A, the endpoint of each line segment?

** Answer: ** The line segments in the figure are BA and AC.

A is one of the endpoints of both BA and AC.

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Topic: Ray **

** Q1 ** Name the rays given in this picture.

Answer: The rays given in this picture are TA and TB.

** Q2 ** Is T a starting point of each of these rays?

** Answer: ** Yes. T is the starting point of each these rays.

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.1 **

(a) Five points

(b) A line

(c) Four rays

(d) Five line segments

** Answer: ** (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.

(a) Line containing point E.

(b) Line passing through A.

(c) Line on which O lies

(d) Two pairs of intersecting lines.

** Answer: **(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) one given point?

(b) two given points?

** Answer: ** (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 .

(f) M is point on ray .

(g) Ray is different from ray .

(h) Ray is same as ray .

(i) Ray is not opposite to ray .

(j) O is not an initial point of .

(k) N is the initial point of and .

** Answer: ** (a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.2 **

** Q1 ** Classify the following curves as (i) Open or (ii) Closed

** Answer: ** (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?

** Answer: ** (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.

(c) A polygon with two sides.

** Answer: ** (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.

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.3 **

** Q1 ** Name the angles in the given figure.

Answer: The angles in the given figure are

** Q2 ** In the given diagram, name the point(s)

(a) In the interior of

(b) In the exterior of

(c) On

** Answer: ** (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) One point in common.

(b) Two points in common.

(c) Three points in common.

(d) Four points in common.

(e) One ray in common.

** Answer: ** (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.

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.4 **

** Answer: ** 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?

** Answer: ** (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.

**NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.5 **

** Answer: ** 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.

** Answer: ** 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

** NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise: 4.6 **

** Q1 ** From the figure, identify :

(a) the center of the circle

(b) three radii

(c) a diameter

(d) a chord

(e) two points in the interior

(f) a point in the exterior

(g) a sector

(h) a segment

** Answer: ** (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?

** Answer: ** (a) Yes, every diameter of a circle is also a chord.

(b) No, not every chord of a circle is a diameter.

(a) it's center

(b) a radius

(c) a diameter

(d) a sector

(e) a segment

(f) a point in its interior

(g) a point in its exterior

(h) an arc

** Answer: **

In the above-drawn 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.

** Answer: ** (a)Two diameters of a circle will necessarily intersect - ** True. **

(b) The center of a circle is always in its interior- ** True. **

**Basic Geometrical Ideas Class 6 Maths Chapter 4-Topics**

- Points
- A Line Segment
- A Line
- Intersecting Line
- Parallel Line
- Ray
- Curves
- Polygons
- Angles
- Triangles
- Quadrilaterals
- Circles

### NCERT Solutions for Class 6 Mathematics Chapter Wise

Chapters No. | Chapters Name |

Chapter - 1 | |

Chapter - 2 | |

Chapter - 3 | |

Chapter - 4 | Basic Geometrical Ideas |

Chapter - 5 | |

Chapter - 6 | |

Chapter - 7 | |

Chapter - 8 | |

Chapter - 9 | |

Chapter -10 | |

Chapter -11 | |

Chapter -12 | |

Chapter -13 | |

Chapter -14 |

### NCERT Solutions for Class 6 - Subject Wise

### How to Use NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas? ** **

- Try to relate all the figures with the things around us.
- Learn the concepts given related to a particular figure.
- Take a look through some examples to understand the application of those concepts.
- Solve the unsolved problems given in the practice exercises.
- While solving the unsolved questions if you stuck anywhere you can take the help of NCERT Solutions for Class 6.

* Keep working hard always and happy learning! *

**Also Check NCERT Books and NCERT Syllabus here:**

## Frequently Asked Question (FAQs) - NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

**Question: **What is the largest chord of a circle?

**Answer: **

The largest chord of a circle is the diameter.

**Question: **What is the meaning of Geometry ?

**Answer: **

Geometry has a long history. The 'Geometry' is the English equivalent of the Greek word 'Geometron'.

'Geo' means Earth and the 'Metron' means Measurement. Geometry studies the sizes, shapes, positions, angles, and dimensions of things

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