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**

**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 l contains E and F but not D.**

**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.****Ans: **

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