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Prove by vector method that the line seg...

Prove by vector method that the line segment joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides and equal to half of their difference.

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The correct Answer is:
`(1)/(2)(AB-DC)`
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Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line segment joining the mid-points of the diagonals of a trapezium is parallel to each of the parallel sides and is equal to half the difference of these sides.

Prove that the line joining the mid-points of the diagonals of a trapezium is parallel to the parallel sides of trapezium and is half of their difference.

Prove that the segment joining the middle points of two non-parallel sides of a trapezium is parallel to the parallel sides and half of their sum.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

Prove that the line segment joining the mid points of two side of a triangle is parallel to the third side and equal to half of it.

The line segment joining the mid-points of any two sides of a triangle in parallel to the third side and equal to half of it.

Prove that the line joining the mid-points of the two sides of a triangle is parallel to the third side.

Show that the line segments joining the mid-points of opposite sides of a quadrilateral bisects each other.

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ICSE-MID-POINT AND ITS CONVERSE(INCLUDING INTERCEPT THEOREM)-EXERCISE 12(B)
  1. Prove by vector method that the line segment joining the mid-points...

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  2. Use the following figure to find : BC, if AB = 7.2 cm.

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  3. Use the following figure to find : GE, if FE = 4 cm. B

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  4. Use the following figure to find : AE, if BD = 4.1 cm.

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  5. Use the following figure to find : DF, if CG = 11 cm.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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