To construct a rectangle ABCD given AC=6cm and angle between diagonals is 30∘, which of the following properties of rectangles do we use?
The diagonals of a quadrilateral ABCD are perpendicular to each other. Prove that the quadrilateral formed by joining the midpoints of its sides is a rectangle.
Which of the following statements are true or false for a rectangle?
(i) It has two pairs of equal opposite sides.
(ii) It has all its sides of equal length.
(iii) Its diagonals are equal.
(iv) Its diagonals bisect each other.
(v) Its diagonals are perpendicular to each other.