NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 are part of NCERT Solutions for Class 6 Maths. Here we have given NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1.

- Basic Geometrical Ideas Class 6 Ex 4.2
- Basic Geometrical Ideas Class 6 Ex 4.3
- Basic Geometrical Ideas Class 6 Ex 4.4
- Basic Geometrical Ideas Class 6 Ex 4.5
- Basic Geometrical Ideas Class 6 Ex 4.6

Board |
CBSE |

Textbook |
NCERT |

Class |
Class 6 |

Subject |
Maths |

Chapter |
Chapter 4 |

Chapter Name |
Basic Geometrical Ideas |

Exercise |
Ex 4.1 |

Number of Questions Solved |
6 |

Category |
NCERT Solutions |

## NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1

Ex 4.1 Class 6 Maths Question 1.

Use the figure to name:

**(a)** Five points

**(b)** A line

**(c)** Four rays

**(d)** Five line segments

Solution:

Clearly, from the given figure

**
(a)** 5 points are points, O, C, B, D and E.

**(b)**A line is [altex]\overleftrightarrow { BD } [/latex]

**(c)**4 rays are \(\overleftrightarrow { OC } ,\overleftrightarrow { OB } ,\overleftrightarrow { OD } \) and \(\overleftrightarrow { ED } \).

**(d)**5 line segments are \(\overline { OE } ,\overline { OD } ,\overline { DE, } \overline { OB } \) and \(\overline { BD } \).

Ex 4.1 Class 6 Maths Question 2.

Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

Solution:

All the possible ways of naming the given by choosing only two letters at a time out of 4 letters are

\(\overleftrightarrow { AB } ,\overleftrightarrow { AC } ,\overleftrightarrow { AD } ,\overleftrightarrow { BC } ,\overleftrightarrow { BD } ,\overleftrightarrow { CD } ,\overleftrightarrow { DC } ,\overleftrightarrow { DB } ,\overleftrightarrow { CB } ,\overleftrightarrow { DA } ,\overleftrightarrow { CA } \) and \(\overleftrightarrow { BA } \).

Ex 4.1 Class 6 Maths Question 3.

Use the figure to name :

**(a)** Line containing point E.

**(b)** Line passing through A.

**(c)** Line on which O lies.

**(d)** Two pairs of intersecting lines.

Solution:

Clearly, from the given figure

**(a)** Line containing pqint E is \(\overleftrightarrow { AE } \).

**(b)** Line passing through A is \(\overleftrightarrow { AE } \).

**(c)** O lies on the line \(\overleftrightarrow { CB } \).

**(d)** Two pairs of intersecting lines are \(\overleftrightarrow { CO } ,\overleftrightarrow { AE } \) and \(\overleftrightarrow { AE } ,\overleftrightarrow { EF } \).

Ex 4.1 Class 6 Maths Question 4.

How many lines can pass through

**(a)** one given point?

**(b)** two given points?

Solution:

**(a)** An unlimited number of lines can be drawn passing through a given point.

**(b)** Exactly one line can be drawn passing through two different given points in a plane.

Ex 4.1 Class 6 Maths Question 5.

Draw a rough figure and label suitably in each of the following cases:

**(a)** Point P lies on \(\overline { AB } \).

**(b)** \(\overleftrightarrow { XY } \) and \(\overleftrightarrow { PQ } \) intersect at M.

**(c)** Line l contains E and F but not D.

**(d)** \(\overleftrightarrow { OP } \) and \(\overleftrightarrow { OQ } \) meet at O.

Solution:

A rough figure and labelled suitably for the given cases are as under:

**(a)** Point P lies on \(\overleftrightarrow { AB } \) :

**
(b)** \(\overleftrightarrow { XY } \) and \(\overleftrightarrow { PQ } \) intersect at M:

**Line l contains E and F but not D:**

(c)

(c)

**\(\overleftrightarrow { OP } \) and \(\overleftrightarrow { OQ } \) meet at O.**

(d)

(d)

Ex 4.1 Class 6 Maths Question 6.

Consider the following figure of line MN. Say whether following statements are true or false in context of the given figure.

**
(a)** Q, M, O, N, P are points on the line \(\overleftrightarrow { MN } \) .

**(b)**M, O, N are points on a line segment \(\overline { MN } \).

**(c)**M and N are end points of line segment \(\overline { MN } \).

**(d)**O and N are end points of line segment \(\overline { OP } \).

**(e)**M is one of the end points of line segment \(\overline { QO } \).

**(f)**M is point on ray \(\overrightarrow { OP } \).

**(g)**Ray \(\overrightarrow { OP } \) is different from ray \(\overrightarrow { QP } \).

**(h)**Ray \(\overrightarrow { OP } \) is same as ray \(\overrightarrow { OM } \).

**(i)**Ray \(\overrightarrow { OM } \) is not opposite to ray \(\overrightarrow { OP } \).

**(j)**O is not an initial point of \(\overrightarrow { OP } \).

**(k)**N is the initial point of \(\overrightarrow { NP } \) and \(\overrightarrow { NM } \).

Solution:

In the context of the given figure, the given statement is:

**(a)**True

**(b)**True

**(c)**True

**(d)**False

**(e)**False

**(f)**False

**(g)**True

**(h)**False

**(i)**True

**(j)**False

**(k)**True

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