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Prove that the line joining the mid poin...

Prove that the line joining the mid points of the diagonals of a trapezium is parallel to the parallel sides of the trapezium.

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

Show that the st. Line joining the mid-points of two non-parallel sides of a trapezium is parallel to the bases and is equal to half of the sum of their lengths.

Using converse of Basic Proportionality theorem prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

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

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MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. Prove that the line joining the mid points of the diagonals of a trape...

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  2. Three angles of a quadrilteral are respectively 50^@ and 110^@ and 100...

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  3. The angle of a quadrilateral are in the ratio 2: 4: 5: 7. find the ang...

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  4. In the quad. ABCD is a point inside it. Find that OA+OB+OC+OD>AC+BD.

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  5. In the fig. BLbotAC and DMbotAC. If BL=LM prove that AC bisects BD

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  6. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:QB...

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  7. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:PQ...

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  8. In the fig. ABCD is a square and anglePQR=90^@ PB=QC=DR, prove that:an...

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  9. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

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  10. ABCD is a quadrilateral whose diagonals AC and BD intersect at O, prov...

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  11. A diagonal of a rectangle is inclined to one side of the rectangle at ...

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  12. In a parallelogram, prove that sum of any two consecutive angles is 18...

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  13. If an angle of a parallelogram is two thid of its adjacent angle, find...

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  14. In the fig. ABCD is a parallelogram in which angleDAB=60^@ and angleDB...

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  15. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  16. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  17. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  18. In the fig. ABCD is a parallelogram in which angleBAO=35^@, angleDAO=4...

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  19. The diagonals of a rhombus are perpendicular to each other .

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  20. The diagonals of a rectangle ABCD meet at o and angleBOC=44^@ and find...

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  21. ABCD is a rectangle with angleABD=40^@ determine angleDBC.

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