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The coordinates of the vertices of a qua...

The coordinates of the vertices of a quadrilateral taken in order are '(2,1)', '(5,3),(8,7),(4,9)'.
i) Find the coordinates of the midpoints of all four sides.
ii) Prove that the quadrilateral got by joining these mid points is a parallelogram.

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V PUBLICATION-GEOMETRY AND ALGEBRA-QUESTION BANK
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  2. The coordinates of two opposite vertices of a parallelogram are '(4,5)...

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  7. If 'A(2,-1)' B '(3,4), C(-2,3)' are the vertices of a parallelogram fi...

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  8. In triangle 'ABC,(4,2)' is the mid point of 'AB'. The mid point of 'BC...

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  9. If the points 'A(2,-2), B(14 , 10) C (11,13)' are the three vertices o...

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  10. Find the coordinates of the midpoint of the line joining the points '(...

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  11. The points 'A(6,1), B(8,2), C(9,4)', D '(p, 3)' are the vertices of a ...

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  12. One end of the diameter of a circle is (1, 4). The center of the circl...

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  13. Calculate the coordinates of the point dividing the line joining the p...

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  14. Now look at this pictüre: The line inside the large triangle ...

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  16. Find the coordinates of the points which divide the line joining '(1,6...

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  18. Calculate the coordinates of the point P in the picture.

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