Mathematics
The figure formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order, is a square only if
ABCD is a rhombus
diagonals of ABCD are equal
diagonals of ABCD are perpendicular to each other
diagonals of ABCD are equal and perpendicular to each other.
Related Questions
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral PQRS, taken in order, is a rectangle if
PQRS is a parallelogram
PQRS is a rectangle
the diagonals of PQRS are perpendicular to each other
the diagonals of PQRS are equal.
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral ABCD, taken in order is a rhombus if
ABCD is a parallelogram
ABCD is a rhombus
the diagonals of ABCD are equal
the diagonals of ABCD are perpendicular to each other.
ABCD is a rhombus with P, Q and R as mid-points of AB, BC and CD respectively. Prove that PQ ⊥ QR.
The diagonals of a quadrilateral ABCD are perpendicular. Show that the quadrilateral formed by joining the mid-points of its adjacent sides is a rectangle.