# NCERT Solutions for Class 6th Mathematics

## Chapter 4. Basic Geometrical Ideas

### Exercise 4.2

Exercise 4.2

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

**Solution: **

(i) Open curves : (a) and (c)

(ii) Close curves : (b) (d) and (e)

**Q2. Draw rough diagrams to illustrate the following :**

(a) Open curve (b) Closed curve.

Solution:

**Q3. Draw any polygon and shade its interior.**

**Solution: **

**Q4. Consider the given figure and answer the questions :**

(a) Is it a curve? (b) Is it closed?

**Solution: **

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

**Solution: **yes, it is a curve

**(b) Is it closed?**

**Solution: **yes, it is a closed

**Q5. 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.

**Solution: **

**(c) A polygon with two sides.**

**Solution:** The polygon can be made with three or more sides. There is no polygon with two sides.