Mathematics
Answer
A polygon is a closed plane figure made up of line segments only.
(i) The figure is not a polygon because it is not closed (has an open part).
(ii) The figure is a polygon because it is a simple closed figure made up of line segments.
(iii) The figure is not a polygon because it is not a simple curve; its line segments cross each other (it is self-intersecting).
(iv) The figure is not a polygon because it contains a curved line.
Related Questions
State which of the following statements are true and which are false:
(i) A triangle can have two right angles.
(ii) A triangle cannot have more than one obtuse angle.
(iii) A triangle has at least two acute angles.
(iv) If all the three sides of a triangle are equal, it is called a scalene triangle.
(v) A triangle has four sides.
(vi) An isosceles triangle is an equilateral triangle also.
(vii) An equilateral triangle is an isosceles triangle also.
(viii) A scalene triangle has all its angles equal.
State whether the following statements are true (T) or false (F):
(i) Each angle of a rectangle is a right angle.
(ii) The opposite sides of a rectangle are equal in length.
(iii) The diagonals of a square are perpendicular to one another.
(iv) All sides of a rhombus are equal in length.
(v) All sides of a parallelogram are equal in length.
(vi) The opposite sides of a trapezium are parallel.
(vii) The diagonals of a parallelogram are equal.
Name each of the following polygons:
Draw a rough sketch of a pentagon and draw its diagonals.