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.)
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?
He can make sure that it is a rectangular using the following different ways:
(i) By making opposite sides of equal length.
(ii) By keeping each angle at the corners as 90°.
(iii) By keeping the diagonals of equal length.
(iv) By making opposite sides parallel and ensuring one angle as 90° in measure
(v) By making all angles equal and ensuring the measure of one angle as 90°.
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.