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.