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.

Examine whether the following figures are polygons. Give reasons.

Draw a rough sketch of a pentagon and draw its diagonals.

Draw a rough sketch of a regular hexagon. Connecting three of its vertices draw:

(i) an isosceles triangle

(ii) a right-angled triangle.