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

Students can download Chapter 4 Basic Geometrical Ideas Ex 4.1 KSEEB Solutions for Class 6 Maths helps you to revise the complete syllabus.

Karnataka State Syllabus Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1

Question 1.
Use the figure to name:
a) Five points
b) a line
c) Four rays
d) Five Line Segments
Solution:
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 1
a) The five points are D, E, O, B and C
b) \(\overrightarrow{\mathrm{BD}}\)
c) \(\overrightarrow{\mathrm{OD}}, \overrightarrow{\mathrm{OB}}, \overrightarrow{\mathrm{OC}}, \overrightarrow{\mathrm{OE}}\)
d) \(\overrightarrow{\mathrm{DE}}, \overrightarrow{\mathrm{EO}}, \overrightarrow{\mathrm{OB}}, \overrightarrow{\mathrm{BE}}, \overrightarrow{\mathrm{OC}}\)

Question 2.
Name the line given in all possible ( twelve) ways, choosing only two letters at a time from the four given.
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Solution:
\(\overrightarrow{\mathrm{AB}}, \overrightarrow{\mathrm{BC}}, \overrightarrow{\mathrm{CD}}, \overrightarrow{\mathrm{BA}}, \overrightarrow{\mathrm{CB}}, \overrightarrow{\mathrm{DC}}, \overrightarrow{\mathrm{AD}}, \overrightarrow{\mathrm{DA}}, \overrightarrow{\mathrm{AC}}, \overrightarrow{\mathrm{CA}}, \overrightarrow{\mathrm{BD}}\)

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

Question 3.
Use the figure to name:
a) Line containing point E
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 3
b) Line passing through A.
c) Line on Which O lies.
d) Two pairs of intersecting lines
Solution:
a) \(\overleftrightarrow{AE}\)
b) \(\overleftrightarrow{AE}\)
c) \(\overleftrightarrow{OC}\)
d) \(\overleftrightarrow{OC}\) and \(\overleftrightarrow{AE}\), \(\overleftrightarrow{AE}\) and \(\overleftrightarrow{EF}\)

Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
Solution:
a) infinite number of lines can pass through a single point.
b) Only one line can pass through two given points

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

Question 5.
Draw a rough figure and label suitably in each of the following cases:
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 113
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:
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 10

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

Question 6.
Consider the following figure of line \(\overleftrightarrow{MN}\). 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 \(\overleftrightarrow{MN}\) – True
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 150
f) M is point on ray \(\overleftrightarrow{OP}\) – False
KSEEB Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 12
g) Ray \([latex]\overleftrightarrow{OP}\)[/latex] is different from ray \(\overleftrightarrow{QP}\) – True
h) Ray \(\overleftrightarrow{OP}\) same as ray \(\overrightarrow{\mathrm{OM}}\) – Terue
i) Ray \(\overrightarrow{\mathrm{OM}}\) is net opposite to ray \(\overleftrightarrow{OP}\)
j) O is net an initial point of \(\overleftrightarrow{OP}\) – False
k) N is the initial point of \(\overrightarrow{\mathrm{NP}}\) and \(\overrightarrow{\mathrm{NM}}\) – True