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The line segment joining the mid-points ...

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.

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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.

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

Using Theorem 6.2, prove that the line joining the mid-point of any two sides of a triangle is parallel to the third side. (Recall that you have done it in class IX).

Prove analytically that the line segment joining the middle points of two sides of a triangle is equal to half of the third side.

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

Show that the difference of any two sides of a triangle is less than the third side.

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.

RD SHARMA ENGLISH-QUADRILATERALS-All Questions
  1. A B C D is a rhombus, E A B F is a straight line such that E A=A B=B F...

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  2. A B C D is a parallelogram. A D is a produced to E so that D E=D C and...

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  3. The line segment joining the mid-points of any two sides of a triangle...

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  4. In a quadrilateral ABCD, CO and DO are the bisectors of /C and /D ...

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  5. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

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  6. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

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  7. The sides B A and D C of a quadrilateral A B C D are produced as shown...

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  8. In a quadrilateral A B C D ,A O andB O are the bisectors of A/ and /B ...

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  9. In Figure, bisectors of /B and /D of quadrilateral A B C D meet C D an...

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  10. The angle of a quadrilateral are respectively 100^0,\ 98^0,\ 92^0dot F...

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  11. In a quadrilateral A B C D , the angles A ,\ B ,\ C\ a n d\ D are in t...

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  12. In a quadrilateral A B C D ,C O and D O are the bisectors of /C and /D...

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  13. The angles of a quadrilateral are in the ratio 3:5:9: 13. Find all t...

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  14. In a parallelogram A B C D , prove that sum of any two consecutive ang...

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  15. In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...

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  16. In Figure, A B C D is a parallelogram. Compute the values of x\ a n...

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  17. In Figure, find the four angles A ,\ B ,\ C\ a n d\ D in the parall...

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  18. In a parallelogram A B C D diagonals A C\ a n d\ B D intersect at O\ a...

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  19. A B C D is a parallelogram and line segments A X ,\ C Y bisect the ...

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  20. Given /\A B C , lines are drawn through A ,\ B\ a n d\ C parallel r...

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