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# NCERT Solutions (Part - 1) - Basic Geometrical Ideas Class 6 Notes | EduRev

## Class 6 : NCERT Solutions (Part - 1) - Basic Geometrical Ideas Class 6 Notes | EduRev

The document NCERT Solutions (Part - 1) - Basic Geometrical Ideas Class 6 Notes | EduRev is a part of the Class 6 Course Mathematics (Maths) Class 6.
All you need of Class 6 at this link: Class 6

Exercise 4.1

Q1. Use the figure to name: (a) Five points
(b) A line
(c) Four rays
(d) Five line segments
Ans:

 (a) Five points are: O, B, C, D, E (b) A line: (c) Four rays: (d) Four line segments: Q2. Name the line given in all possible (twelve) ways, choosing only two letters at a time from the four given. Ans:  Q3. Use the figure to name: (a) Line containing point E.
Ans: A line containing (b) Line passing through A.
Ans: A line passing through (c) Line on which O lies.
Ans: A line on which O lies (d) Two pairs of intersecting lines.
Ans: Two pairs of intersecting lines are Q4. How many lines can pass through

(a) one given point?
Ans: Infinite number of lines can pass through one given point. (b) Two given points?
Ans: Only one line can pass through two given points. Q5. Draw a rough figure and label suitably in each of the following cases:
(a) Point P lies on .
(b) intersect at M.
(c) Line contains E and F but not D.
(d) meet at O.
Ans:    Q6. 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 Ans: True

(b) M, O, N are points on a line segment Ans: True

(c) M and N are end points of line segment Ans: True

(d) O and N are end points of line segment Ans: False

(e) M is one of the end points of line segment Ans: False

(f) M is point on ray Ans: False

(g) Ray is different from ray Ans: True

(h) Ray is same as ray Ans: False

(i) Ray is not opposite to ray Ans: False

(j) O is not an initial point of Ans: False

Exercise 4.2

Q1. Classify the following curves as (i) Open or (ii) Closed.

(a) Ans: Open curve

(b) Ans: Closed curve

(c) Ans: Open curve

(d) Ans: Closed curve

(e) Ans: Closed curve

Q2. Draw rough diagrams to illustrate the following:

(a) Open curve
Ans: Open curves    (b) Closed curve
Ans: Closed curves    Q3. Draw any polygon and shade its interior.
Ans: Polygon ABCDE Q4. Consider the given figure and answer the questions:
(a) Is it a curve?
(b) Is it closed? Ans: (a) Yes, it is a curve.
(b) Yes, it is closed.

Q5. Illustrate, if possible, each one of the following with a rough diagram:

(a) A closed curve that is not a polygon.
Ans: (b) An open curve made up entirely of line segments.
Ans: (c) A polygon with two sides.
Ans: Polygon with two sides cannot be draw.

Exercise 4.3

Q1. Name the angles in the given figure. Ans: There are four angles in given figure:
∠ ABC, ∠ CDA, ∠ DAB, ∠ DCB

Q2. In the given diagram, name the point (s) (a) In the interior of ∠DOE
Ans: Point interior of ∠DOE : A

(b) In the exterior of ∠EOF
Ans: Points exterior of ∠EOF: C, A, D

(c) On ∠EOF
Ans: Points on ∠EOF: E, O, B, F

Q3. Draw rough diagrams of two angles such that they have

(a) One point in common.
Ans: (b) Two points in common.
Ans: (c) Three points in common.
Ans: (d) Four points in common.
Ans: (e) One ray in common.
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## Mathematics (Maths) Class 6

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