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In triangle ABC, D and E are points on s...

In triangle ABC, D and E are points on side AB such that AD = DE = EB. Through D and E, lines are drawn parallel to BC which meet side AC at points F and G respectively. Through F and Glines are drawn parallel to AB which meet side BC at points M and N respectively.
Prove that : BM = MN = NC.

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ICSE-MID-POINT AND ITS CONVERSE(INCLUDING INTERCEPT THEOREM)-EXERCISE 12(B)
  1. Use the following figure to find : DF, if CG = 11 cm.

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  2. In the figure, given below, 2AD = AB, P is mid-point of AB, Q is mid-p...

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  3. In the figure, given below, 2AD = AB, P is mid-point of AB, Q is mid-p...

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  4. The side AC of a triangle ABC is produced to point E so that CE=(1)/(2...

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  5. The side AC of a triangle ABC is produced to point E so that CE=(1)/(2...

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  6. In triangle ABC, the medians BP and CQ are produced upto points M and ...

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  7. In triangle ABC, the medians BP and CQ are produced upto points M and ...

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  8. In triangle ABC, angle B is obtuse. D and E are mid-points of sides AB...

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  9. In parallelogram ABCD, E and F are mid-points of the sides AB and CD r...

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  10. In parallelogram ABCD, E and F are mid-points of the sides AB and CD r...

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  11. In triangle ABC, D and E are points on side AB such that AD = DE = EB....

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  12. In triangle ABC, M is mid-point of AB, N is mid-point of AC and D is a...

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  13. If the quadrilateral formed by joining the mid points of the adjacent ...

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  14. In triangle ABC, D and E are mid-points of the sides AB and AC respect...

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  15. In the given figure, AD and CE are medians and DF||CE. Prove that : Fb...

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  16. In parallelogram ABCD, E is the mid-point of AB and AP is parallel to ...

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  17. In parallelogram ABCD, E is the mid-point of AB and AP is parallel to ...

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  18. In trapezium ABCD, sides AB and DC are parallel to each other. E is mi...

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  19. In Delta ABC, AD is the median and DE is parallel to BA, where E is a ...

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  20. Adjacent sides of a parallelgram are equal and one of diagonls is equa...

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