NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1

These NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Ex 4.1 Questions and Answers are prepared by our highly skilled subject experts.

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas Exercise 4.1

Question 1.
Use the figure to name:

(a) Five points
(b) A line
(c) Four rays
(d) Five line segments
(a) Five points are: O, B, C, D, E
(b) Aline: $$$\overleftrightarrow{\mathrm{DB}}$$$
(c) Four rays: $$\overrightarrow{\mathrm{OD}}, \overrightarrow{\mathrm{OE}}, \overrightarrow{\mathrm{OC}}, \overrightarrow{\mathrm{OB}}$$
(d) Four line segments: $$\overline{\mathrm{DE}}, \overline{\mathrm{OE}}, \overline{\mathrm{OC}}, \overline{\mathrm{OB}}, \overline{\mathrm{OD}}$$

Question 2.
Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given.

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.
(a) A line containing E = $$\overleftrightarrow{\mathrm{AE}}$$ or $$\overleftrightarrow{\mathrm{EF}}$$
(b) A line passing through
A = $$\overleftrightarrow{\mathrm{AE}}$$ or $$\overleftrightarrow{\mathrm{DE}}$$
(c) A line on which O lies = $$\overleftrightarrow{\mathrm{CO}}$$ or $$\overleftrightarrow{\mathrm{OC}}$$
(d) Two pairs of intersecting lines are $$\overleftrightarrow{\mathrm{AE}}$$ . $$\overleftrightarrow{\mathrm{CO}}$$, and $$\overleftrightarrow{\mathrm{FE}}$$

Question 4.
How many lines can pass through
(a) one given point?
(b) two given points?
(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 $$\overline{\mathbf{A B}}$$.
(b) $$\overleftrightarrow{\mathrm{XY}}$$ and $$\overleftrightarrow{\mathrm{PQ}}$$ intersect at M.
(c) Line l contains E and F but not D.
(d) $$\overleftrightarrow{\mathrm{OP}}$$ and $$\overleftrightarrow{\mathrm{OQ}}$$ meet at O.

Question 6.
Consider the following figure of line $$\overline{\mathrm{MN}}$$. 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 $$\overline{\mathrm{MN}}$$.
(b) M, O, N are points on a line segment $$\overline{\mathrm{MN}}$$.
(c) M and N are end points 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 $$\overrightarrow{\mathrm{OP}}$$
(g) Ray $$\overrightarrow{\mathrm{OP}}$$ is different from ray $$\overrightarrow{\mathrm{OP}}$$
(h) Ray $$\overrightarrow{\mathrm{OP}}$$ is same as ray $$\overrightarrow{\mathrm{OM}}$$
(i) Ray $$\overrightarrow{\mathrm{OM}}$$ not opposite to ray $$\overrightarrow{\mathrm{OP}}$$
(j) O is not an initial point of $$\overrightarrow{\mathrm{OP}}$$
(k) N is the initial point of $$\overrightarrow{\mathrm{NP}}$$ and $$\overrightarrow{\mathrm{NM}}$$.