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.

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**Exercise 4.1****Ques 1: ****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: |

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

**Ans:**

**Ques 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.**

**Ans: **(a) A line containing

(b) A line passing through

(c) A line on which O lies

(d) Two pairs of intersecting lines are **Ques 4: ****How many lines can pass through ****(a) one given point? ****(b) Two given points?****Ans:** (a) Infinite number of lines can pass through one given point.

(b) Only one line can pass through two given points.

**Ques 5: ****Draw a rough figure and label suitably in each of the following cases:****(a) Point P lies on ****.****(b) ** **intersect at M.****(c) Line l contains E and F but not D.**

**Ques 6: ****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 ****(b) M, O, N are points on a line segment ****(c) M and N are end points of line segment ****(d) O and N are end points of line segment ****(e) M is one of the end points of line segment ****(f) M is point on ray ****(g) Ray ** **is different from ray ****(h) Ray ** **is same as ray ****(i) Ray ****is not opposite to ray ****(j) O is not an initial point of ****Ans: **(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False**Exercise 4.2****Ques 1: ****Classify the following curves as ****(i) Open or ****(ii) Closed.**

**Ans: **(a) Open curve

(b) Closed curve

(c) Open curve

(d) Closed curve

(e) Closed curve**Ques 2: ****Draw rough diagrams to illustrate the following:****(a) Open curve ****(b) Closed curve.****Ans: **(a) Open curves

(b) Closed curves

**Ques 3: Draw any polygon and shade its interior. ****Ans: **Polygon ABCDE

**Ques 4: ****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.**Ques 5: ****Illustrate, if possible, each one of the following with a rough diagram:****(a) A closed curve that is not a polygon.****(b) An open curve made up entirely of line segments.****(c) A polygon with two sides.****Ans:**

(a)

(b)

(c) Polygon with two sides cannot be draw.**Exercise 4.3****Ques 1: ****Name the angles in the given figure.**

**Ans: **There are four angles in given figure:

âˆ ABC, âˆ CDA, âˆ DAB, âˆ DCB**Ques 2: ****In the given diagram, name the point (s)**

**(a) In the interior of âˆ DOE****(b) In the exterior of âˆ EOF****(c) On âˆ EOF****Ans**: (a) Point interior of âˆ DOE : A

(b) Points exterior of âˆ EOF: C, A, D

(c) Points on âˆ EOF: E, O, B, F**Ques 3: ****Draw rough diagrams of two angles such that they have****(a) One point in common.****(b) Two points in common.****(c) Three points in common.****(d) Four points in common.****(e) One ray in common.****Ans: **(a)

(b)

(c)

(d)

(e)

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