Haryana State Board HBSE 6th Class Maths Solutions Chapter 4 Basic Geometrical Ideas Ex 4.1 Textbook Exercise Questions and Answers.
Haryana Board 6th Class Maths Solutions Chapter 4 Basic Geometrical Ideas Exercise 4.1
Question 1.
Use the figure to name
(a) 5 points
(b) a line
(c) 4 rays
(d) 5 line segments.
Solution:
(a) 5 points are O, B, C, D and E.
(b) A line is \(\) or \(\).
(c) 4 rays are \(\) and \(\).
(d) 5 line segments are \(\overline{\mathrm{OB}}, \overline{\mathrm{OC}}, \overline{\mathrm{OF}}, \overline{\mathrm{OD}},\overline{\mathrm{DE}}\).
Question 2.
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.
Solution:
Possible twelve names are as follows:
Question 3.
Name :
(a) Line containing point E.
(b) Line passing through A.
(c) Line on which 0 lies.
(d) Two pairs of intersecting lines.
Solution:
(a) Line containing point E is \(\overleftrightarrow{\mathrm{EF}}\)
(b) Line passing through A is \(\overleftrightarrow{\mathrm{AE}}\).
(c) Line on which O lies is \(\overleftrightarrow{\mathrm{OC}}\)
(d) Two pairs of intersecting lines are : \(\stackrel{\leftrightarrow}{\mathrm{AE}}, \overleftrightarrow{\mathrm{OC}}\) and \(\stackrel{\leftrightarrow}{\mathrm{AE}}, \overleftrightarrow{\mathrm{EF}}\)
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 one given 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 :
(a) Point P lies on \(\overline{A B}\) .
(b) XY and PQ intersect at M.
(c) Line l contains E and F but not D.
(d) OP and OQ meet at O.
Solution:
Question 6.
Consider the following figure of line MN. Say whether following state¬ments are true or false in context of given figure.
(a) Q, M, O, N, P are points on the line MN.
(b) M, O, N are points on a line segment . \(\overline{M N}\).
(c) M and N are end points of line segment \(\overline{M N}\).
(d) 0 and N are end points of line segment \(\overline{OP}\).
(e) M is one of the end points of line segment \(\overline{QO}\).
(f) M is point on ray \(\overrightarrow{OP}\).
(g) Ray \(\overrightarrow{OP}\) is different from ray \(\overrightarrow{QP}\).
(h) Ray \(\overrightarrow{OP}\) is same as ray \(\overrightarrow{OM}\).
(i) Ray \(\overrightarrow{OM}\) is not opposite to ray \(\overrightarrow{OP}\).
(j) 0 is not an initial point of \(\overrightarrow{OP}\).
(k) N is the initial point of \(\overrightarrow{NP}\) and \(\overrightarrow{N M}\).
Solution:
(a) True,
(b) True,
(c) True,
(d) False,
(e) False,
(f) False,
(g) False,
(h) True,
(i) False,
(j) False,
(k) True.