Chapter 4 Basic Geometrical Ideas Ex 4.2

Chapter 4 Basic Geometrical Ideas Ex 4.2

Question 1.
Classify the following curves as (i) open or (ii) closed.

Solution:
(a) Open curve
(b) Closed curve
(c) Open curve
(d) Closed curve

Question 2.
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve
Solution:

Question 3.
Draw any polygon and shade
Solution:
ABCD is the required polygon whose interior region is shaded.

Question 4.
Consider the given figure and answer the questions.
(a) Is it a curve?
(b) Is it closed?

Solution:
(a) Yes, it is a curve.
(b) Yes, it is closed curve.

Question 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.
Solution:
(a) Required closed curve is a circle.
(b) ABCD is an open curve made up of the line segments AB¯¯¯¯¯¯¯¯, BC¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ .
(c) A polygon with two sides is not possible.
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