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Given. A circle with centre 0.A prallelogram ABCD. touching the circle at point p,q,r,s.
To prove. ABCD is a rhombus
To prove......
that the parallelogram circumscribing the circle is a rhombus, you need to prove that all side of parallelogram are equal. The sides OP and ON are perpendicular to AB, respectively to AD (the circle radii are perpendicular to the tangent lines to circle).
that the parallelogram circumscribing the circle is a rhombus, you need to prove that all side of parallelogram are equal. The sides OP and ON are perpendicular to AB, respectively to AD (the circle radii are perpendicular to the tangent lines to circle).
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