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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Refer The Attachment ⬆️
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