Some figures are given below. Classify which of these are Simple curve

A curve is a line or outline which gradually deviates from being straight for some or all of its length. A simple curve does not cross itself at any point. Hence, ( i ) , ( i i ) , ( i i i ) , ( v ) and ( v i ) are simple curves.

Some figures are given below. Classify which of these are simple closed curve.

In simple closed curves the shapes are closed by line-segments or by a curved line. Triangle, quadrilateral, circle, etc., are examples of closed curves. A closed curve which does not cross itself is called a simple closed curve. ( i i i ) , ( v ) , ( v i ) are simple closed curves.

Some figures are given below. Classify which of these are Polygon.

Polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain or polygonal circuit. Hence, ( i i i ) and ( v i ) are polygons.

Some figures are given below. Classify which of these are Convex polygon

A convex polygon is defined as a polygon with all its interior angles less than 180 ° . This means that all the vertices of the polygon will point outwards, away from the interior of the shape. Think of it as a 'bulging' polygon. Hence, ( i i i ) is a convex polygon.

Some figures are given below. Classify which of these are Concave polygon

A simple polygon that is not convex is called concave polygon. A concave polygon will always have at least one reflex interior angle—that is, an angle with a measure that is between 180 ° and 360 ° . Hence, ( v i ) is a concave polygon