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The figure shows a parallelogram with th...

The figure shows a parallelogram with the coordinates of its vertices: Prove that `x_1+x_3=x_2+x_4andy_1+y_3=y_2+y_4`

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V PUBLICATION-GEOMETRY AND ALGEBRA-QUESTION BANK
  1. What are the coordinates of the fourth vertex of the parallelogram sho...

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  2. The figure shows a parallelogram with the coordinates of its vertice...

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  3. A parallelogram is drawn with the lines joining (x1,y1)and (x2,y2) to ...

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  4. Prove that in any parallelogram, the 'sum of the squares of all sides ...

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  5. In this picture, the mid points of the sides of the large triangle are...

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  6. A circle is drawn with the line joining '(2,3)' and '(6 , 5)' as diame...

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  7. The coordinates of two opposite vertices of a parallelogram are '(4,5)...

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  8. The coordinates of the vertices of a quadrilateral taken in order are ...

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  9. In the picture, the mid points of the large rilateral are. joined to f...

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  10. The coordinates of the vertices of a triangle are (3,5), (9,13), (10,6...

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  11. The centre of a circle is '(1,2)' and a point on it is '(3,2)'. Find t...

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

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

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

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

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

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

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

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

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  20. The coordinates of two points 'A' and 'B' are '(3,2)' and '(8,7)' Fin...

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