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A (- 1, - 1), B (- 1, 4), C (5, 4) and D...

A (- 1, - 1), B (- 1, 4), C (5, 4) and D (5, - 1). P, Q, R and S are the mid points of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square ? a rectangle ? or a rhombus ? Justify your answer

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ABCD is a rhombus and P, Q, R, S are the mid-points of AB, BC, CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.

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MBD-COORDINATE GEOMETRY-EXERCISE
  1. A (- 1, - 1), B (- 1, 4), C (5, 4) and D (5, - 1). P, Q, R and S are t...

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  2. Find a relation between x and y such that the point (x, y) is equidist...

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  3. Check whether the points (20, 3) , (19, 8) and (2, - 9) are all equidi...

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  4. By use of distance formula, prove that each of the following sets of p...

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  5. By use of distance formula, prove that each of the following sets of p...

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  6. By use of distance formula, prove that each of the following sets of p...

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  7. Show that the following sets of points are the vertices of right isosc...

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  8. Show that the following sets of points are the vertices of right isosc...

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  9. Show that the following sets of points are the vertices of right isosc...

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  10. Show that each of the triangles whose vertices are given below is isos...

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  11. Show that each of the triangles whose vertices are given below is isos...

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  12. Show that each of the triangles whose vertices are given below is isos...

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  13. Show that the following sets of points are the vertices of an equilate...

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  14. Show that the following sets of points are the vertices of an equilate...

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  15. Show that the following sets of points are the vertices of an equilate...

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  16. Show that the following sets of points are the vertices of an equilate...

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  17. Show that the points :- A (2, 1), B (5, 4), C (4, 7) and D(1, 4)are t...

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  18. Show that the points :- P (3, 2), Q (0, - 1), R (- 3,- 2) and S (0, 1)...

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  19. Show that the points : A (0,- 2), B (3, 1), C (0, 4) and D (- 3, 1) ar...

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  20. Show that the points : P (1, 2), Q (5, 4), R (3, 8) and S (-1, 6) are...

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  21. Show that the points : D (6, 2), E (2, 1), F (1, 5) and G (5, 6) are ...

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