Mathematics
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.
Related Questions
In the adjoining figure, ABCD is a rectangle in which AB = 6 cm and AD = 8 cm. If P and Q are mid-points of the sides BC and CD respectively, then the length of PQ is
7 cm
5 cm
4 cm
3 cm
D and E are mid-points of the sides AB and AC of △ABC and O is any point on the side BC. O is joined to A. If P and Q are mid-points of OB and OC respectively, then DEQP is
a square
a rectangle
a rhombus
a parallelogram
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.
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.