The school science clubdecides to create a geometric garden project. They plan to construct a hexagonal seating areasandbox, a circular pond to study water properties, and a rectangular vegetable patch to conduct plant growth experiments. The measurements are to be done precisely using Euclidean geometry.
(i) Which postulate allows drawing a circle from a center and radius?
(ii) What terms are used in defining a hexagon?
(iii) A smaller hexagon is made in the same ratio as a bigger one. If one is double the other, what axiom applies?
(iv) Why are all distances from the center of the circular pond to study water properties to the boundary equal?