Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Chapter-23

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Chapter-23. We provide step by step Solutions of Exercise / lesson-23 Fundamental Concepts for ICSE Class-6 Concise Selina Mathematics.

Our Solutions contain all type Questions of Exe-23 A, Exe-23 B and Revision Exercise to develop skill and confidence. Visit official Website  CISCE for detail information about ICSE Board Class-6 .

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Chapter-23


–: Select Topics :–

 Exe-23 A,

 Exe-23 B,

 Revision Exercise


Exercise – 23 A  Selina Concise Mathematics Class-6 ICSE Fundamental Concepts  

Question-1

State, true or false, if false, correct the statement.

(i) A dot has width but no length.
(ii) A ray has an infinite length only on one side of it.
(iii) A line segment PQ is written as \overleftrightarrow { PQ } .
(iv) \overleftrightarrow { PQ }  represents a straight line.
(v) Three points are said to be collinear, if they lie in the same plane.
(vi) Three or more points all lying in the same line, are called collinear points.
Answer-1

(i) False : Because a dot has no length, no breadth.
(ii) True.
(iii) False : A line segment PQ is written as PQ.
(iv) True.
( v) False: Three points are called collinear points if they are in the same straight line.
(vi) True.

Question- 2.

Write how many lines can be drawn through :
(i) a given point?
(ii) two given fixed points?
(iii) three collinear points?
(iv) three non-collinear points?
Answer-2

(i) Infinite (unlimited) line can be drawn through a given point.
(ii) only one line can be drawn through two given point.
(iii) only one line can be drawn through three collinear points.
(iv) None (no) line can be drawn through three non-collinear points

Question- 3.

The shaded region of the given figure shows a plane :

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -4
(a) Name :
(i) three collinear points.
(ii) three non-collinear points.
(iii) a pair of intersecting lines.
(b) State whether true or false :
(i) Line DE is contained in the given plane P.
(ii) Lines AB and DE intersect at point C.
(iii) Points D, B and C are collinear.
(iv) Points D, B and E are collinear.
Answer-3

(a) 

(i) A, B and C are three collinear points.
(ii) A, D and C are non-collinear points.
(iii) AC and DE are intersecting lines.
(b) 

(i) True
(ii) True
(iii) False
(iv) False

Question- 4.

Correct the statement, if it is wrong:
(i) A A ray can be extended infinitely on either side.
(ii) A ray has a definite length.
(iii) A line segment has a definite length.
(iv) A line has two end-points.
(v) A ray has only one end point.
Answer-4

(i) A ray can be extended infinitely on one side of it only.
(ii) A ray has infinite length.
(iii) Yes, a line segment has a definite length.
(iv) A line-segment has two end-points.
(v) Yes, a ray has only one end-point.

Question -5.

State true-er false, if false give the correct statement :
(i) A line has a countable number of points in it.
(ii) Only one line can pass through a given point.
(iii) The intersection of two planes is a straight line
Answer-5

(i)  False, a line has length only.
(ii) False, any number of line can pass through a given point.
(iii) True.

Question- 6.

State, whether the following pairs of lines or rays appear to be parallel or intersecting.
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a6
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a6a
Answer-6

(i) intersecting
(ii) Parallel
(iii) Parallel
(iv) Intersecting

Question -7.

Give two examples, from your surroundings, for each of the following:
(i) points
(ii) line segments
(iii) plane surfaces
(iv) curved surfaces.
Answer-7

(i) Tips of your pencil (Ball Pen) and Tip of paper pin.
(ii) Lines of Exercise Note-Books and edge of school desk.
(iii) Floor of the room and top of the table.
(iv) Surface of foot-ball and front glass of the car.

Question- 8.

Under what condition will two straight
lines, in the same plane, have :
(i) no point in common.
(ii) only one point in common.
(iii) an infinite number of points in common.
(iv) If possible draw diagrams in support of your answer.
Answer-8

(i) When lines are parallel to each others.
(ii) When they intersect each other
(iii) When line coincide with each other.
(iv)…………………..

Question- 9.

Mark two points A and B on a page of your exercise book. Mark a third point P, such that :
(i) P lies between A and B; and the three points A, P and B are collinear.
(ii) P does not lie between A and B yet the three points are collinear.
(iii) the three points do not lie in a line.
Answer-9

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -9

Question -10.

Mark two points P and Q on a piece of paper. How many lines can you draw:
(i) passing through both the points P and Q?
(ii) passing through the point P ?
(iii) passing through the point Q ?
Answer-10

(i) From above diagram it is clear only one line can be drawn.
Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -10.1
(ii) Infinite lines can pass through the point P

(iii) Infinite lines can pass through the point Q

Question- 11.

The adjoining diagram shows a line AB. Draw diagram to represent:
(i) ray AB i.e. \xrightarrow { AB }
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a11
(ii) \xrightarrow { BA }
(iii) line segment AB.
Answer-11

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -11

Question- 12.

The adjoining diagram shows a ray AB. Draw diagrams to show :
(i) ray BA i.e. \xrightarrow { BA }
(ii) line AB
(iii) line segment BA.
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a12
Answer-12

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -12

Question-13.

The adjoining diagram shows a line segment AB. Draw diagrams to represent :
(i) ray AB i.e. \xrightarrow { AB }
(ii) line AB i.e. \overleftrightarrow { AB }
(iii) ray BA.
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a13
Answer-13

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -13

Question -14.

Use a ruler and And whether the following points are collinear or not:
(i) D, A and C
(ii) A, B and C
(iii) A, B and E
(iv) B, C and E
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a14
Answer-14

(i) No, points D, A and C are not collinear.

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 A ans -14.1
(ii) No, points A, B and C are not collinear.


(iii) Yes, points A, B and E are collinear.


(iv) No, points B, C and E are not collinear.

Question -15.

From the adjoining figure, write:
(i) all pairs f parallel lines
(ii) all the lines which intersect EF.
(iii) lines whose point of intersection is G.
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -a15
Answer-15

(i) The pairs of parallel lines are EF || GH, EF || IJ and GH || IJ
(ii) The lines which intersect EF are AB and CD
(iii) AB and GH are the lines whose point of intersection is G.


Selina Concise Mathematics Solutions for ICSE Class-6 Fundamental Concepts Exercise – 23 B

Question -1.

State, which of the following is a plane closed figure :
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -b1
Answer-1

(i) , (iii) ,(iv),(vi) and (viii) are plane close figures

Question -2.

Fill in the blanks :
(i) ….. is a three sided plane closed figure.
(ii) A square is a plane closed figure which is not bounded by …..
(iii) A rectangle is a …. sided plane ……
(iv) A rectangle has opposite sides ….. and adjacent sides ….. to each other.
(v) The sides of a square are ……. to each other and each angle is
(vi) For a line segment, a line making angle of ……… with it, is called perpendicular to it.
(vii) For a line segment, a line ……. it and making angle of ……. with it, is called ……. bisector of the line segment.
(viii) How many perpendiculars can be drawn to a line segment of length 6 cm ?
(ix) How many perpendicular bisectors can be drawn to a line segment of length 6 cm ?
(x) A perpendicular to a line segment will be its perpendicular bisector if it passes through the ……. of the given line segment.

Answer-2

i) Triangle
(ii) any curved line.
(iii) four, closed figure.
(iv) parallel, perpendicular.
(v) Equal, 90°
(vi) 90°
(vii) bisecting, 90°, perpendicular.
(viii) Infinite.
(ix) Only one.
(x) mid-point

Question- 3.

State, which of the lines/line- segments are perpendicular to the line PQ :
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -b3
Answer-3

CD and MN are perpendicular to the line PQ. forming angle to 90°

Question- 4.

Which of the following figures show two mutually perpendicular lines :
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -b4
Answer-4

figures (i) and (iii) show two mutually perpendiculars lines forming angles of 90°

Question- 5.

For each figure given below name the line segment that is perpendicular bisector of the other :

Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -b5
Answer-5

(i) AB of CD
(ii) AB to MN
(iii) PQ to RS and RS to PQ
(iv) None
(v) None.

Question -6.

Name three objects from your surroundings that contain perpendicular edges.
Answer-6

(i) Text book
(ii) Bricks
(iii) My Scale or My school’s Black Board

Question- 7.

Using the given figure, answer the following :
(i) Name the pairs of parallel lines.
(ii) Name the pairs of mutually perpendicular lines.
(iii) Is the line p parallel to the line l ?
(iv) Is the line q perpendicular to the line m ?
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -b7
Answer-7

(i) l || m and p || q
(ii) p and l, p and m, q and l, q and m.
(iii) No, p is perpendicular to line l.
(iv) Yes.

Question -8.

Place a scale (ruler) on a sheet of paper and hold it firmly with one hand. Now draw two line segments AB and CD along the longer edges of the scale. State whether segment AB is parallel to or perpendicular to segment CD.
Answer-8

Yes , AB is parallel to CD

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 B ans -8

Question -9.

Check your text book :
(i) How many pairs of its edges are parallel to each other ?
(ii) How many pairs of its edges are perpendicular to each other ?
Answer-9

(i) 8
(ii) Three at each corner = 24

Question -10.

Give two examples from your surroundings for each of the following :
(i) intersecting lines
(ii) parallel lines
(iii) perpendicular lines.
Answer-10

(i) Edges of my Text-Book and Note Book through any comer.
(ii) opp. edges of my Text-Book and Note Book.
(iii) Adjacent edges of my Text-Book and Black Board in my class-room.

Question- 11.

State true or false; if false, give the correct statement :
(i) The maximum number of lines through three collinear points is three.
(ii) The maximum number of lines through three non-collinear points is three.
(iii) Two parallel lines always lie in the same plane.
(iv) Concurrent lines always meet at the same point.
(v) A surface can be plane or curved.
(vi) There are an infinite number of points in a line segment of length 10 cm.
(vii) There are an infinite number of points in a line.
(viii) A plane has an infinite number of lines.
(ix) A plane has an infinite number of points.
Answer-11

(i) False: Because only one line passes through three collinear points.
(ii) False : No line passes through all the three non-collinear points.
(iii) True.
(iv) True.
(v) True.
(vi) True.
(vii) True.
(viii) True.
(ix) True.


Revision Exercise ICSE Class-6 Fundamental Concepts Exercise – 23 B Selina Concise Mathematics Solutions

Question -1.

Mark a point O on a piece of paper. Using a sharp pencil and a ruler, draw a line through the point O. Then draw one more line through the point O. How many lines can you draw through O?
Write a statement regarding your observations.
Answer-1

We take a point O on a piece of paper. Using a sharp pencil, we draw a line OA through O.

Selina Concise Mathematics Class-6 ICSE Fundamental Concepts revision-exercise ans -1

another line OB is drawn as shown in the figure.
We can draw an infinite number of lines from O as we know that an infinite number of lines can be drawn through a point in aplane,

Question -2.

Mark two points A and B on a plain sheet “ of paper. Using a sharp pencil and a ruler, draw a line through points A and B. Try to draw one more line through A and B. What do you observe ?
Write a statement regarding your observations.
Answer-2

Two points A and B are marked On the plain sheet of paper. Using pencil, draw a line through there two points.
Selina Concise Mathematics Class-6 ICSE Fundamental Concepts revision-exercise ans -2
We cannot draw any other line joining them as only one line can be drawn passing through two fixed (given) points in a plane.

Question -3.

Draw two straight lines on a sheet of paper so that the lines drawn :
(i) intersect each other.
(ii) do not intersect.
(iii) appear to intersect when extended.
Answer-3

wo straight lines are drawn on the sheet of a paper
(i) Intersecting each other:
Selina Concise Mathematics Class-6 ICSE Fundamental Concepts revision-exercise ans -3.1
(ii) Not intersecting each other:
Selina Concise Mathematics Class-6 ICSE Fundamental Concepts Exe-23 B ans -8
(iii) Intersect each other when produced them:

Question- 4.

Draw a figure to show that :
(i) points A, B and C arc collinear.
(ii) lines AB, CD and EF are concurrent.
Answer-4

(i) We know that three or more points are collinear if they lie on the same straight line. Therefore the required figure (line) is given below on which three points A, B and C lie
Selina Concise Mathematics Class-6 ICSE Fundamental Concepts revision-exercise ans -4.1
(ii) If three or more lines pass through a common point, these are called concurrent lines. Below is given the figure, in which three lines AB, CD and EF are passing (or intersecting each other) at O.

Question -5.

In your note-book, draw two rays with the same initial point O and going in opposite directions. Write the special name for the final figure obtained.
Answer-5

Two rays OA and OB are drawn through O in opposite direction as given below.
Two rays OA and OB are drawn through O in opposite direction
There two rays form a straight line

Question- 6.

In each figure, given below, write the number of line segments used :
Selina Concise Mathematics Class 6 ICSE Solutions - Fundamental Concepts -r6
Answer-6

(i) In the given figure, there as Ten (10) line segments which are AB, BC, CD, DE, EF, FG, GH, HI, IJ and JA.
write the number of line segments in alphabet F
(ii) In the given figure, there are 12 line segments which are AB, BC, CD, DE, EF, FG, GH, HI, IJ, JK, KL and LA.

(iii) In the given figure, there are 13 line segments which are AB, BC, CD, DE, EF, FG, GH, HI, IJ, JK, KL, LM and MA.

(iv) In the given figure, there are 7 line segments which are AB, BC, CD, DE, DA, DB, CE.

Question- 7.

In a circle, point P is its centre and PA = PB = radius of the circle. Where do points A and B lie ?
Answer-7

A circle is given with centre P and PA = PB = radius of the circle.
∵ The radii of a circle are equal there they lie on the circumference of the circle In other words, path of a point which is equidistant from a fixed point is the circumference of a circle. The fixed point is called the centre and equidistance is the radius.

Question -8.

Draw a four-sided closed figure, in which:

(i) all the sides are equal and each angle is 90°.
(ii) opposite sides are equal and each angle is 90°.
Write the special name of each figure drawn.
Answer-8

(i) In this four sided closed figure all the sides are equal and each angle is 90°. This figure is called a square. In ABCD, AB = BC = CD = DA and ∠A = ∠B =∠C = ∠D = 90°

(ii) In this four sided closed figure opposite sides are equal and each angle is 90°. This figure is called a rectangle In rectangle ABCD, AB = CD and BC = AD
∠A = ∠B = ∠C = ∠D = 90°.
Draw a four-sided closed figure, in which opposite sides are equal and each angle is 90°

 End of Class-6 ICSE Fundamental Concepts  Solutions :–

Return to –  Concise Selina Maths Solutions for ICSE Class -6

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