ABC is a right-angled triangle and O is the mid-point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally by to help you.)
Produce BO to D such that BO = OD.
Joining CD and AD, we get a quadrilateral ABCD in which opposite sides are parallel.
A mason has made a concrete slab. He needs it to be rectangular. In what different ways can he make sure that it is rectangular?
A square was defined as a rectangle with all sides equal. Can we define it as rhombus with equal angles? Explore this idea.
A square has sides of equal length and angels of equal measure, so it is a __________ polygon.