IP1U12 HOT Q2

Here an isosceles trapezium means a quadrilateral with a pair of parallel sides and equal angles at each base. We use the inclusive convention, so a rectangle is included.

1. Editorial restoration of the omitted instruction: in the figure below, \(ABCDEF\) is a regular hexagon. Show that \(ABCF\) is an isosceles trapezium.
   
2. In the figure below, \(ABCDEFG\) is a regular heptagon. Show that \(ABCG\) is an isosceles trapezium.
   
3. In the figure below, \(ABCDEF\) is part of a regular polygon. Show that
   1. \(BCDE\) is an isosceles trapezium,
   2. \(ABEF\) is an isosceles trapezium.