**RBSE Solutions for Class 6 MATHS Chapter 4** :Understanding basic geometrical ideas is a crucial foundation for mathematical knowledge, and RBSE Class 6 students delve into this fundamental concept in Chapter 4 of their Maths curriculum. To ensure a seamless learning experience, let’s explore comprehensive RBSE solutions for Class 6 Maths Chapter 4 – Basic Geometrical Ideas.

Access RBSE Solutions for Class 6 Chapter 4: Basic Geometrical Ideas

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.1 Page no: 74

**1. Use the figure to name:**

**(a) Five points**

**(b) A line**

**(c) Four rays**

**(d) Five line segments**

**Solutions:**

**(a) **The five points are D, E, O, B and C

(b) A line is

(c) Four rays are , , and .

(d) Five line segments are , , , and

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

**Solutions:**

The lines are , , , , , , , , , , ,

**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.**

**Solutions:**

(a) Line containing point E is

(b) Line passing through A is

(c) Line on which O lies is

(d) Two pairs of intersecting lines are , and ,

**4. How many lines can pass through (a) one given point? (b) two given points?**

**Solutions:**

**(a) **Countless lines can pass through a given point.

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

**5. Draw a rough figure and label suitably in each of the following cases:**

**(a) Point P lies on .**

**(b)** ** and intersect at M.**

**(c) Line l contains E and F but not D.**

**(d) and meet at O.**

**Solutions:**

**(a)**

(b)

**(c)**

(d)

**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 **

**(k) N is the initial point of and .**

**Solutions:**

(a) True

(b) True

(c) True

(d) False

(e) False

(f) False

(g) True

(h) False

(i) False

(j) False

(k) True

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.2 Page No: 78

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

**Solutions:**

**(a) **The given curve is an open curve

(b) The given curve is a closed curve

(c) The given curve is an open curve

(d) The given curve is a closed curve

(e) The given curve is a closed curve

**2. Draw rough diagrams to illustrate the following:**

**(a) Open curve**

**(b) Closed curve**

**Solutions**

**(a) **The below figure is an open curve

**(b) **The below figure is a closed curve

**3. Draw any polygon and shade its interior.**

**Solutions:**

The below figure is a polygon with a shaded interior.

**4. Consider the given figure and answer the questions:**

**(a) Is it a curve?**

**(b) Is it closed?**

**Solutions:**

**(a) **Yes, it is a curve

(b) Yes, it is a closed curve

**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.**

**Solutions:**

**(a) **The below figure is a closed figure but not a polygon.

**(b) **The below figure is an open curve made up entirely of line segments.

(c) No, it’s not possible, as the polygon with the least number of sides is a triangle, which has three sides.

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.3 Page no: 80

**1. Name the angles in the given figure.**

**Solutions:**

The angles are ∠DAB, ∠ABC, ∠BCD and ∠CDA

**2. In the given diagram, name the points(s)**

**(a) In the interior of ∠DOE**

**(b) In the exterior of ∠EOF**

**(c) On ∠EOF**

**Solutions:**

**(a) **The point in the interior of ∠DOE is A

(b) The points in the exterior of ∠EOF is C, A and D

(c) The points on ∠EOF are E, B, O and F

**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**

**Solutions:**

**(a) **O is the common point between ∠COD and ∠AOB

(b) O and B are common points between ∠AOB and ∠BOC

(c) O, E and B are common points between ∠AOB and ∠BOC

(d) O, E, D and A are common points between ∠BOA and ∠COA

(e) OC is a common ray between ∠BOC and ∠AOC

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.4 page no: 81

**1. Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is the point A in its exterior or in its interior?**

**Solutions:**

Point A lies on the given triangle ABC. It lies neither in the interior nor the exterior.

**2. (a) Identify three triangles in the figure.**

**(b) Write the names of seven angles.**

**(c) Write the names of six line segments**

**(d) Which two triangles have ∠B as common?**

**Solutions:**

**(a) **The three triangles are ∠ABD, ∠ACB, ∠ADC

(b) The angles are ∠BAC, ∠BAD, ∠CAD, ∠ADB, ∠ADC, ∠ABC, ∠ACB

(c) The line segments are , , , , ,

(d) ∠ABD and ∠ABC are triangles which have ∠B as common.

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.5 Page no: 82

**1.** **Draw a rough sketch of a quadrilateral PQRS. Draw its diagonals. Name them. Is the meeting point of the diagonals in the interior or exterior of the quadrilateral?**

**Solutions:**

PR and QS are the diagonals**. **They meet at point O, which is in the interior of the quadrilateral.

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**2. Draw a rough sketch of a quadrilateral KLMN. State,**

**(a) two pairs of opposite sides,**

**(b) two pairs of opposite angles,**

**(c) two pairs of adjacent sides,**

**(d) two pairs of adjacent angles.**

**Solutions:**

**(a) **Two pairs of opposite sides are

, and ,

(b) Two pairs of opposite angles are ∠KLM, ∠KNM and ∠LKN, ∠LMN

(c) Two pairs of adjacent sides are

, and , or , and ,

(d) Two pairs of adjacent angles are ∠K, ∠L and ∠M, ∠N or ∠K, ∠L and ∠L, ∠M

## RBSE Solutions for Class 6 MATHS Chapter 4 Exercise 4.6 page no: 84

**1. From the figure, identify:**

**(a) the centre of circle**

**(b) three radii**

**(c) a diameter**

**(d) a chord**

**(e) two points in the interior**

**(f) a point in the exterior**

**(g) a sector**

**(h) a segment**

**Solutions:**

(a) The centre of the circle is O

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(b) Three radii are , ,

(c) A diameter is

(d) A chord is

(e) Two points in the interior are O and P

(f) A point in the exterior is Q

(g) A sector is AOB, i.e., shaded region

(h) A segment is ED, i.e., shaded region

**2. (a) Is every diameter of a circle also a chord?**

**(b) Is every chord of a circle also a diameter?**

**Solutions:**

**(a) **Yes, every diameter of a circle is also a chord. The diameter is also called the longest chord.

(b) No, every chord is not a diameter.

**3. Draw any circle and mark**

**(a) its centre**

**(b) a radius**

**(c) a diameter**

**(d) a sector**

**(e) a segment**

**(f) a point in its interior**

**(g) a point in its exterior**

**(h) an arc**

**Solutions:**

**(a) **The centre of the circle is O.

(b) The radius is OC

(c) A diameter is

(d) A sector is AOC

(e) A segment is DE

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(f) A point in its interior is O

(g) A point in its exterior is F

(h) An arc is

**4. Say true or false:**

**(a) Two diameters of a circle will necessarily intersect.**

**(b) The centre of a circle is always in its interior.**

**Solutions:**

**(a) **True, two diameters will always intersect each other at the centre of the circle.

(b) True, the centre of the circle will always be in its interior.

### Conclusion:

Mastering basic geometrical ideas lays the groundwork for advanced mathematical concepts. Our RBSE Class 6 Maths Chapter 4 solutions provide a comprehensive and student-friendly approach to understanding geometry, ensuring that students not only excel in their exams but also develop a lasting appreciation for the beauty of mathematics. Dive into the world of shapes, angles, and polygons with confidence, armed with our expert solutions tailored for RBSE Class 6 students.