Question

The quadrilateral formed by joining the midpoints of the sides of a quadrilateral ABCD, taken in order, is a rectangle, if

(a) ABCD is a parallelogram

(b) ABCD is a rectangle

(c) diagonals of ABCD are equal

(d) diagonals of ABCD are perpendicular to each other

Answer 1

ANSWER:
Since,
The quadrilateral formed by joining the mid-points of the sides of a parallelogram is parallelogram.
The quadrilateral formed by joining the mid-points of the sides of a rectangle is rhombus.
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral with diagonals equal is rhombus.
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral with diagonals perpendicular to each other is rectangle.
Hence, the correct option is (d).