The quadrilateral formed by joining the mid-points of the adjacent sides of a Quadrilateral PQRS, taken in order, is a rhombus, if
PQRS is a rhombus
PQRS is a parallelogram
diagonals of PQRS are equal.
diagonals of PQRS are perpendicular
A
diagonals of PQRS are perpendicular
B
diagonals of PQRS are equal.
C
PQRS is a rhombus
D
PQRS is a parallelogram
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Solution
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Diagonals of rectangle PQRS are equal :
⇒ In rhombus,the intersection of diagonals form 90o angles or right angles.
This means they are perpendicular and they bisect each other in half.
Therefore, diagonals are equal in length.
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