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:

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.

Solution:

\(\overrightarrow{\mathrm{AB}}, \overrightarrow{\mathrm{BC}}, \overrightarrow{\mathrm{CD}}, \overrightarrow{\mathrm{BA}}, \overrightarrow{\mathrm{CB}}, \overrightarrow{\mathrm{DC}}, \overrightarrow{\mathrm{AD}}, \overrightarrow{\mathrm{DA}}, \overrightarrow{\mathrm{AC}}, \overrightarrow{\mathrm{CA}}, \overrightarrow{\mathrm{BD}}\)

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:

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

Question 5.

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

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:

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

f) M is point on ray \(\overleftrightarrow{OP}\) – False

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