# 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.