Basic geometrical ideas Ex-4.1

NCERT solutions for Maths Basic geometrical ideas

NCERT Solutions for Class 6 Maths Basic geometrical ideas

Class –VI

Mathematics

(Ex. 4.1)

Question 1.Use the figure to name:

(a)Five points

(b)A line

(c)Four rays

(d)Five line segments

Answer:

(a) Five points are: O, B, C, D, E

(b) A line: $\overline {{\text{DE}}} ,$$\overline {{\text{DB}}} ,$$\overline {{\text{OE}}} ,$$\overline {{\text{OB}}}$

(c) Four rays: $\overrightarrow {{\text{OD}}} ,$$\overrightarrow {{\text{OE}}} ,$$\overrightarrow {{\text{OC}}} ,$$\overrightarrow {{\text{OB}}}$

(d) Four line segments: $\overline {{\text{DE}}} ,$$\overline {{\text{OE}}} ,$$\overline {{\text{OC}}} ,$$\overline {{\text{OB}}} ,$, $\overline {{\text{OD}}}$

NCERT Solutions for Class 6 Maths Exercise 4.1

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

Answer: $\overline {{\text{AB}}} ,$$\overline {{\text{AC}}} ,$$\overline {{\text{AD}}} ,$$\overline {{\text{BC}}} ,$$\overline {{\text{BD}}} ,$$\overline {{\text{CD}}} ,$$\overline {{\text{BA}}} ,$$\overline {{\text{CA}}} ,$$\overline {{\text{DA}}} ,$$\overline {{\text{CB}}} ,$$\overline {{\text{DB}}} ,$$\overline {{\text{DC}}}$

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.

Answer: (a) A line containing E = $\overline {{\text{AE}}}$ or $\overline {{\text{FE}}}$

(b) A line passing through A = $\overline {{\text{AE}}}$ or $\overline {{\text{DE}}}$

(c) A line on which O lies = $\overline {{\text{CO}}}$ or $\overline {{\text{OC}}}$

(d) Two pairs of intersecting lines are : $\overline {{\text{AD}}} ,$$\overline {{\text{CO}}}$ and $\overline {{\text{AE}}}$, $\overline {{\text{FE}}}$

NCERT Solutions for Class 6 Maths Exercise 4.1

Question 4.How many lines can pass though:

(a) one given point?

(b) two given points

Answer: (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 $\overline {{\text{AB}}} .$

(b) $\overline {{\text{XY}}}$ and $\overline {{\text{PQ}}}$ intersect at M.

(c) Line $l$ contains E and F but not D.

(d) $\overline {{\text{OP}}}$ and $\overline {{\text{OQ}}}$ meet at O.

Answer: Sol.

NCERT Solutions for Class 6 Maths Exercise 4.1

Question 6.Consider the following figure of line $\overline {{\text{MN}}}$. Say whether following statements are true or false in the context of the given figure:

(a)Q, M, O, N, P are points on the line $\overline {{\text{MN}}}$.

(b)M, O, N are points on a line segment $\overline {{\text{MN}}}$.

(c)M and N are end points of line segment $\overline {{\text{MN}}}$.

(d)O and N are end points of line segment $\overline {{\text{OP}}}$.

(e)M is one of the end points of line segment $\overline {{\text{QO}}}$.

(f)M is point on ray $\overrightarrow {{\text{OP}}}$.

(g)Ray $\overrightarrow {{\text{OP}}}$ is different from ray $\overrightarrow {{\text{OP}}}$.

(h)Ray $\overrightarrow {{\text{OP}}}$same as ray $\overrightarrow {{\text{OM}}} .$.

(i)Ray $\overrightarrow {{\text{OM}}} .$ is not opposite to ray $\overrightarrow {{\text{OP}}}$.

(j)O is not an initial point of $\overline {{\text{NP}}}$ and $\overline {{\text{NM}}}$.

Answer: (a) True, (b) True, (c) True, (d) False, (e) False, (f) False, (g) True, (h) False, (i) False, (j) False, (k) True