constellation? Do you also see a bright star
on the same line some distance away?
H. &. 1 and
Practice Set 1
1. Look at the figure alongside and
name the following:
P
N
(1) Collinear points
(2) Rays
(3) Line segments
(4) Lines
M M
O
T
R
S
2. Write the different names of the line.
A
B
C С
Answers
Answer:
i
he following questions:
The different names of the given line are line l, line AB, line AC, line AD,
When making a rangoli on paper, what do you use to make the dots?
Question 2.
Write the proper term, ‘intersecting lines’ or ‘parallel lines’ in each of the empty boxes. (Textbook pg. no. 4)
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 2b
Solution:
i. Intersecting Lines
ii. Parallel Lines
iii. Intersecting Lines
Question 3.
Draw a point on the blackboard. Every student now draws a line that passes through that point. How many such lines can be drawn? (Textbook pg. no. 2)
Solution:
An infinite number of lines can be drawn through one point.
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 3b
Question 4.
Draw a point on a paper and use your ruler to draw lines that pass through it. How many such lines can you draw? (Textbook pg. no. 2)
Solution:
An infinite number of lines can be drawn through one point.
Question 5.
There are 9 points in the figure. Name them. (Textbook pg. no. 3)
i. If you choose any two points, how many lines can pass through the pair?
ii. Which three or more of these nine points lie on a straight line?
iii. Of these nine points, name any three or more points which do not lie on the same line.
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 5b
Solution:
i. One and only one line can be drawn through two distinct , points.
ii. Points A, B, C and D lie on the same line. Points F, G and C lie on the same line.
iii. Points E, F, G, H and I do not lie on the same line, points A, B, E, H and I do not lie on the same line.
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 5b.1
Question 6.
Observe the picture of the game being played. Identify the collinear players, non-collinear players, parallel lines and the plane. (Textbook pg. no. 4)
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 6b
Solution:
i. Collinear Players Players A, B, C, D, E, F, G
ii. Non-collinear Players Players I, H, C Players I, A, B etc.
iii. Parallel Lines line l, line m, line n, line p, line q, line r and line s
iv. Plane The ground on which the boys are playing is the plane
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 6b.1
Question 7.
In January, we can see the constellation of Orion in the eastern sky after seven in the evening. Then it moves up slowly in the sky. Can you see the three collinear stars in this constellation? Do you also see a bright star on the same line some distance away? (Textbook pg. no. 4)
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 7b
Solution:
The three stars shown by points C, D and E are collinear.
The star shown by point H lies on the same line as the stars C, D and E.
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 7b.1
Question 8.
Maths is fun! (Textbook pg. no. 5)
Take a flat piece of thermocol or cardboard, a needle and thread. Tie a big knot or button or bead at one end of the thread. Thread the needle with the other end. Pass the needle up through any convenient point P. Pull the thread up, leaving the knot or the button below. Remove the needle and put it aside. Now hold the free end of the thread and gently pull it straight. Which figure do you see? Now, holding the thread straight, turn it in different directions. See how a countless number of lines can pass through a single point P.
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 8b
Solution:
The pulled thread forms a straight line.
An infinite number of lines can be drawn through one point.
Question 9.
Choose the correct option for each of the following questions:
i. ______ is used to name a point.
(A) Capital letter
(B) Small letter
(C) Number
(D) Roman numeral
Solution :
(A) Capital letter
ii. A line segment has two points showing its limits. They are called_____
(A) origin
(B) end points
(C) arrow heads
(D) infinite points
Solution :
(B) end points
iii. An arrow head is drawn at one end of the ray to show that it is _____ on that side.
(A) finite
(B) ending
(C) infinite
(D) broken
Solution :
(C) infinite
iv. Lines which lie in the same plane but do not intersect are said to be ____ to each other.
(A) intersecting
(B) collinear
(C) parallel
(D) non-collinear
Solution :
(C) parallel
Question 10.
Determine the collinear and non-collinear points in the figure alongside:
Maharashtra Board Class 6 Maths Solutions Chapter 1 Basic Concepts in Geometry Practice Set 1 10b
Solution:
Collinear points:
Points A, E, H and C.
Points B, E, I and D.
Non-collinear points:
Points B, G, F and I