CBSE Class 6 Mathematics Basic Geometrical Ideas Assignment Set 06

Question. Identify the examples of a point, a line or a plane
(a) Location of cities and town in a map.
(b) The edge of your notebook
(c) Roof of your room.
(d) Sheet of paper
(e) Wire stretched between two points
(f) A drop of water
Answer:
(a) Point
(b) Line
(c) Plane
(d) Plane
(e) Line
(f) Point

Question. Join the points and name them:
(a) •
•   •
(b) •   •
•   •
Answer:
(a) Triangle
(b) Rectangle

Question. Take any two points, name them and join. Write the name of the new figure formed.
Answer: line

Question. A line contains how many points?
(i) min
(ii) maximum.
Answer:
(i) Two (min)
(ii) Infinite (max)

Question. From one given point, how many lines can be drawn. Draw few of them.
Answer: Infinite

Question. What are intersecting lines? Write (draw) at least two examples.
Answer: See in Basic points.

Question. What are parallel lines? Draw at least two pairs of lines.
Answer: See in Basic points.

Question. What do you mean by collinear points. How many lines can you draw passing through 3 collinear points? Draw the figure also.
Answer: One only

Question. From a given line, a portion has been cut. Write the name of it.
Answer: Segment

Question. Draw a figure to show that the points A, B, C and D are non collinear.
Answer: Draw four points \(A\), \(B\), \(C\), and \(D\) such that they do not all lie on the same straight line.

Question. From the adjoining figure, name:
[Figure Description: Three parallel lines \(l\), \(m\), and \(n\) are intersected by two transversal lines \(p\) and \(q\). Line \(p\) intersects lines \(l\), \(m\), and \(n\) at points \(A\), \(C\), and \(E\) respectively. Line \(q\) intersects lines \(l\), \(m\), and \(n\) at points \(B\), \(D\), and \(F\) respectively.]
(i) Four pairs of intersecting lines
(ii) Collinear points
(iii) Three non collinear points
Answer:
(i) \(l, p\); \(l, q\); \(m, p\); \(m, q\)
(ii) \(AB, CD, EF\); \(ACE, BDF\)
(iii) \(ABD\), \(BAC\), \(CEF\) etc.

Question. What is the maximum number of points of intersection of three lines in a plane?
Answer: 3

Question. What is the minimum number of points of intersection of three lines in a plane?
Answer: 0

Question. Draw any four points A, B, C and D on your note-book such that no three of them are collinear. Draw all lines that join them in pairs.
Answer: Place four points \(A\), \(B\), \(C\), and \(D\) on the paper such that no three of them lie on the same straight line, and draw lines connecting each pair of points.

Question. From the figure drawn in Q No 14, Answer:
(i) How many such lines can be drawn?
(ii) Write names of these lines.
Answer:
(i) 6
(ii) \(AB\), \(AC\), \(AD\), \(BC\), \(BD\), \(CD\)