Prove that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus….

# Prove that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus….

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ReferTheAttachment⬆️Hope It Helps You ✌️

Step-by-step explanation:Let us join AC and BC

In triangle ABC

Pand Q are the midpoints of AB and DC respectively

Therefore PQ II AC and PQ ½AC

Similarly in triangle ADC

Ac =BD

PQ=QR=SR=PS..

So PQRS is a rhombus