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Prove that the figure obtained by joining the mid-points of the adjacent sides of a rectangle is a rhombus.

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ICSE-MID-POINT AND ITS CONVERSE(INCLUDING INTERCEPT THEOREM)-EXERCISE 12(A)
  1. In triangle ABC, M is mid-point of AB and a straight line through M an...

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  2. Prove that the figure obtained by joining the mid-points of the adjace...

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  3. D, E and F are the mid-points of the sides AB, BC and CA of an isoscel...

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  4. The following figure shows a trapezium ABCD in which AB // DC. P is th...

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  5. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  6. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  7. The figure, given below, shows a trapezium ABCD. M and N are the mid-p...

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  8. The diagonals of a quadrilateral intersect at right angles. Prove that...

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  9. L and M are the mid-points of sides AB and DC respectively of parallel...

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  10. ABCD is a quadrilateral in which AD = BC. E, F, G and H are the mid-po...

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  11. A parallelogram ABCD has P the mid-point of DC and Q a midpoint of AC ...

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  12. A parallelogram ABCD has P the mid-point of DC and Q a point of AC suc...

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  13. D, E and F are the mid-points of the sides AB, BC and CA respectively ...

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  14. In triangle ABC, P is the mid-point of side BC. A line through P and p...

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  15. In triangle ABC, P is the mid-point of side BC. A line through P and p...

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  16. In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of...

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  17. In trapezium ABCD, AB is parallel to DC. P and Q are the mid-points of...

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  18. In a triangle ABC, AD is a median and E is mid-point of median AD. A l...

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  19. D and F are the mid-points of sides AB and AC of a triangle ABC. A lin...

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  20. D and F are the mid-points of sides AB and AC of a triangle ABC. A lin...

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