Students can download Maths Chapter 4 Geometry Ex 4.1 Questions and Answers, Notes, Samacheer Kalvi 6th Maths Guide Pdf helps you to revise the complete Tamilnadu State Board New Syllabus, helps students complete homework assignments and to score high marks in board exams.

Tamilnadu Samacheer Kalvi 6th Maths Solutions Term 1 Chapter 4 Geometry Ex 4.1

Question 1.
Fill in the blanks.
(i) A line through two endpoints ‘A’ and ‘B’ is denoted by ______
(ii) Aline segment from point ‘B’ to point ‘A’ is denoted by ______
(iii) A ray has ______ endpoint(s).
Solution:
(i) \(\overleftrightarrow { AB }\)
(ii) \(\bar { BA } \)
(iii) one

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 2.
How many line segments are there in the given line? Name them.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 1
Solution:
10, \(\overline { PQ } \), \(\overline { PA } \), \(\overline { PB } \), \(\overline { PC } \), \(\overline { AB } \), \(\overline { BC } \), \(\overline {CQ} \), \(\overline { AQ } \), \(\overline { BQ } \), \(\overline { AC } \).

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 3.
Measure the following line segments.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 2
Solution:
\(\overline { XY } \) = 2.4 cm, \(\overline { AB } \) = 3.4 cm, \(\overline { EF } \) = 4 cm, \(\overline { PQ } \) = 3 cm.

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 4.
Construct a line segment using a ruler and compass.
(1) \(\overline { AB } \) = 7.5 cm
(2) \(\overline { CD } \) = 3.6 cm
(3) \(\overline { QR } \) = 10 cm
Solution:
(1) Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 3
(i) Draw line 1 and mark a point A on it.
(ii) Measure 7.5 cm using a compass, placing the pointer at ‘O’ and the pencil pointer at 7.5 cm.
(iii) Place the pointer of the compass at A then draw a small arc on the line 1 with the pencil pointer. It cuts line 1 at a point and name that point as B.
(iv) Now \(\overline { AB } \) is the required line segment of length 7.5 cm.

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

(2) Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 4
(i) Draw a line 1 and mark a point C on it.
(ii) Measure 3.6 cm using a compass, placing the pointer at O and the pencil pointer at 3.6 cm.
(iii) Place the pointer of the compass at C then draw a small arc on the line 1 with the pencil pointer. It cuts line 1 at a point and names the point as D.
(iv) Now \(\overline { CD } \) is the required line segment of length 3.6 cm.

(3) Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 5
(i) Draw a line 1 and mark a point Q on it.
(ii) Measure 10 cm using compass placing the pointer at O and the pencil pointer at 10 cm.
(iii) Place the pointer of the compass at Q then draw a small arc on the line 1 with the pencil pointer. It cuts the line 1 at a point and name that point as R.
(iv) Now \(\overline { QR }\) is the required line segment of length 10 cm.

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 5.
From the given figure
(i) identify the parallel lines
(ii) identify the intersecting lines
(iii) name the points of intersection.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 6
Solution:
(i) Parallel lines:
(a) \(\overrightarrow{\mathrm{CD}} \text { and } \overrightarrow{\mathrm{AB}}\)
(b) \(\overrightarrow{\mathrm{EF}} \text { and } \overrightarrow{\mathrm{GH}}\)
(ii) Intersecting lines:
(a) \(\overrightarrow{\mathrm{CD}} \text { and } \overrightarrow{\mathrm{EF}}\)
(b) \(\overrightarrow{\mathrm{CD}} \text { and } \overrightarrow{\mathrm{GH}}\)
(c) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{EF}}\)
(d) \(\overrightarrow{\mathrm{AB}} \text { and } \overrightarrow{\mathrm{GH}}\)
(iii) Point of Intersection:
P, Q, R and S are the points of Intersection.
(iii) P, Q, R and S

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 6.
From the given figure, name the
(i) parallel lines
(ii) intersecting lines
(iii) points of intersection.
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 7
Solution:
(i) \(\overleftrightarrow { CD } \) and \(\overleftrightarrow { EF } \), \(\overleftrightarrow { CD } \) and \(\overleftrightarrow { IJ } \), \(\overleftrightarrow { EF } \) and \(\overleftrightarrow { IJ } \)
(ii) \(\overleftrightarrow { AB } \) and \(\overleftrightarrow { CD } \), \(\overleftrightarrow { AB } \) and \(\overleftrightarrow { EF } \), \(\overleftrightarrow { AB } \) and \(\overleftrightarrow { IJ } \), \(\overleftrightarrow { GH } \) and \(\overleftrightarrow { IJ } \), \(\overleftrightarrow { AB } \) and \(\overleftrightarrow { GH } \)
(iii) P, Q and R

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Question 7.
From the given figure, name
(i) all pairs of parallel lines.
(ii) all pairs of intersecting lines.
(iii) pair of lines whose point of intersection is ‘V’.
(iv) point of intersection of the lines ‘l2‘ and ‘l3‘.
(v) point of intersection of the lines ‘l1‘, and ‘l5
Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 8
Solution:
(i) Pairs of parallel lines:

  • l3 and l4
  • l4 and l5
  • l3 and l5

(ii) Pairs of intersecting lines:

  • l1 and l2
  • l1 and l3
  • l1 and l4
  • l1 and l5
  • l2 and l3
  • l2 and l4
  • l2 and l5

(iii) l1 and l2 intersect at ‘V’
(iv) point of intersection of the lines ‘l2‘ and; l5‘ is ‘Q’
(v) point of intersection of the lines ‘l1‘ and ‘l5‘ is ‘U’

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1

Objective Type Questions

Question 8.
The number of line segments in Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1 9
(a) 1
(b) 2
(c) 3
(d) 4
Solution:
(c) 3

Question 9.
A line is denoted as __________
(a) AB
(b) \(\overrightarrow{AB}\)
(c) \(\overleftrightarrow {AB} \)
(d) \(\overline { AB }\)
Solution:
(c) \(\overleftrightarrow {AB} \)

Samacheer Kalvi 6th Maths Guide Term 1 Chapter 4 Geometry Ex 4.1