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:
(c) Line l contains E and F but not D:
(d) \(\overleftrightarrow { OP } \) and \(\overleftrightarrow { OQ } \) meet at O.
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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