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NCERT Solution Class 6 Maths Chapter -4 Basic Geometrical Ideas


Exercise 4.1


Question 1:  Answer according to the figure given below

(a) A line
(b) Four rays
(c) Five points
(d) Five line segments
Answer:
(a) CE←→
(b) AC−→−, AB−→, AD−→−, AE−→
(c) Five points are A, B, C, D and E.
(d) ED¯,DA¯, AC¯, AB¯, CD¯


Question 2:Name all the possible (twelve) lines choosing only two letters at a time from the figure given below.

Answer
PQ←→, QR←→, RS←→, QP←→, RQ←→, SR←→, PS←→, SP←→, PR←→, RP←→, QS←→, SQ←→


Question 3:
Answer according to the figure

(a) Line passing through A.
(b) Line containing point D.
(c) Two pairs of intersecting lines.
(d) Line on which X lies.
Answer
(a) AD←→
(b) AD←→
(c) AD←→ and XY←→, AD←→ and ED←→.
(d) XY←→


Question 4: How many lines can pass through (i) one point (ii) two points?
Answer
(i) There are infinite lines which can pass through one point.
(ii) There is only one line which can pass through two given points.


Question 5: Draw figures with label according to the information given below
(a) Point X lies onYZ¯.
(b) AB←→ and CD←→ intersect at O.
(c) Line m contains X and Y but not A.
(d) TP←→ and TS←→ meet at T.
Answer
(a)

(b)

(c)

(d)


Question 6: Consider the figure given below and answer whether the following statements are true or false.
(a) T, Q, O, P, S are points lying on the line QP←→.
(b) Q, O and P are points on QP¯.
(c) Q and P are end points of QP¯.
(d) O and P are end points on OS¯.
(e) Q is one of the end points of TO¯.
(f) Q is point on OS→.
(g) Ray OS is different from TS→.
(h) Ray OS is same as OQ→.
(i) Ray OQ is not opposite to OS→.
(j) O is not an initial point of OS→.
(k) P is the initial point of PS→ and PQ→.
Answer
(a) True
(b) True
(c) True
(d) False
(e) False
(f) False
(g) True
(h) False
(i) False
(j) False
(k) True


Exercise 4.2


Question 1 Answer whether the following figures are closed or open.


Answer
(a) Open
(b)Closed
(c)Open
(d)Closed
(e)Closed


Question 2 Draw diagrams according to the given instructions
(a) Closed
(b)Open
Answer
(a)

(b)


Question 3  Draw a polygon and color its interior part.
Answer


Question 4: Is the given figure curve and closed?
Answer:


Exercise 4.3


Question 1: Give the name of the angles in the given figure

Answer:
∠CDA, ∠DAB, ∠ABC, ∠BCD


Question 2: Name the point(s) in the figure given below

(a) Interior angle of∠POS
(b)Exterior angle of ∠ROT
(c)On ∠ROT
Answer
(a)Q
(b)U, Q, P
(c)R, S, T, O


Question 3 : Draw diagrams having two angles such that they have
(a)One point common
(b)Two points common
(c)Three points common
(d)Four points common
(e)One ray common
Answer
(a)

∠QOS and ∠POR have O common point.

(b)

∠ZOY and ∠YOX have O and Y common points.

(c)

∠YOX and ∠YOZ have Y, W and O common points.

(d)

∠COP and ∠COQ have C, B, A and O common points.

(e)


Exercise 4.4


Question 1: Draw a sketch of triangle PQR. Mark a point A interior and a point B in its exterior. Is the point Q is in its interior or in its exterior?
Answer:

Point Q lies on the ΔPQR .


Question 2: Draw a sketch of triangle XYZ. Mark a point L interior and a point M in its exterior. Is the point L is in its interior or in its exterior?
Answer:

Point L lies on the interior of the triangle.


 

 

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