Basic Geometrical Ideas
Classify the following curves as
(i) Open or
Open curves are (a) and (c) and closed curves are (b), (d) and (e).
Draw rough diagrams to illustrate the following:
(a) Open curve
(b) Closed curve
Rough diagram to illustrate
(a) Open curve is
(b) Closed curve is
Draw any polygon and shade its interior.
We know that in a closed curve, the interior is inside of the curve. Thus, shaded portion of the polygon indicate its interior.
Consider the given figure and answer the questions:
(a) Is it a curve?
(b) Is it closed?
(a) Yes, the given figure represents a curve.
(b) Yes, the curve is closed.
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.
(a) Impossible, as a close plane figure bounded by lines is called a polygon.
(b) No, impossible, as a polygon of two sides cannot be drawn.
(c) Yes, it may be as