Gujarat Board GSEB Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 Textbook Questions and Answers.
Gujarat Board Textbook Solutions Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1
Question 1.
Use the figure to name.
(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Solution:
(a) Five points are: B, C, D, E and O
(b) A line is: \(\stackrel{\leftrightarrow}{DB}\) (or \(\stackrel{\leftrightarrow}{BD}\))
(c) Four rays are: \(\overrightarrow{\mathrm{OB}}\), \(\overrightarrow{\mathrm{OC}}\), \(\overrightarrow{\mathrm{OD}}\) and \(\overrightarrow{\mathrm{OE}}\)
(d) Five line segments are: \(\overline{\mathrm{OB}}\), \(\overline{\mathrm{OC}}\), \(\overline{\mathrm{OD}}\), \(\overline{\mathrm{DE}}\) and \(\overline{\mathrm{OE}}\).
Question 2.
Name the line given in all possible A B C D (twelve) ways, choosing only two letters at a time from the four given.
Solution:
The given line can be named in the following ways:
Question 3.
Use the figure to name:
(a) Line containing point E.
(b) Line passing through A.
(c) Line on which O lies.
(d) Two pairs of intersecting lines.
Solution:
Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
Solution:
(a) An infinite number of lines and
(b) Only one line
Question 5.
Draw a rough figure and label suitably in each of the following cases :
(a) Point P lies on \(\overline{\mathrm{AB}}\).
(b) \(\stackrel{\leftrightarrow}{XY}\) and \(\stackrel{\leftrightarrow}{PQ}\) intersect at M.
(c) Line l contains E and F but not D.
(d) \(\stackrel{\leftrightarrow}{OP}\) and \(\stackrel{\leftrightarrow}{OQ}\) meet at O.
Solution:
Question 6.
Consider the following figure of line . Say whether following statements are true or false in context of the given figure.
(a) Q, M, O, N, P are points on the line \(\stackrel{\leftrightarrow}{MN}\).
(b) M, O, N are points on a line segment \(\overline{\mathrm{MN}}\).
(c) M and N are endpoints of line segment \(\overline{\mathrm{MN}}\).
(d) O and N are end points of line segment \(\overline{\mathrm{OP}}\).
(e) M is one of the end points of line segment \(\overline{\mathrm{QO}}\).
(f) M is point on ray \(\stackrel{\leftrightarrow}{QP}\).
(g) Ray \(\stackrel{\leftrightarrow}{QP}\) is dijferent from ray \(\stackrel{\leftrightarrow}{QP}\).
(h) Ray \(\stackrel{\leftrightarrow}{QP}\) is same as ray \(\stackrel{\leftrightarrow}{QP}\)
(i) Ray is not opposite to ray \(\stackrel{\leftrightarrow}{QP}\)
(j) O is not an initial point of \(\stackrel{\leftrightarrow}{QP}\).
(k) N is the initial point of \(\stackrel{\leftrightarrow}{NP}\) and \(\stackrel{\leftrightarrow}{NM}\).
Solution:
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True