Question

Prove that the quadrilateral formed by joining the mid-points of the consecutive sides of a rectangle is a rhombus....
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Answer 1

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

Answer 2

Refer The Attachment ⬆️

Hope It Helps You ✌️