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ABCD is a trapezium with AB parallel to ...

ABCD is a trapezium with AB parallel to DC. A line parallel to AC intersects AB at X and BC at Y. Prove that area of `DeltaADX` = area of `DeltaACY`.

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ABCD is a trapezium with AB////DC . A line parallel to AC intersects Ab at point M and BC at point N. Prove that : "area of" DeltaADM= "area of" DeltaACN .

ABCD is a trapezium with A B|| D C . A line parallel to AC intersects AB at X and BC at Y. Prove that a r\ (A D X)\ =\ a r\ (A C Y) .

In the figure, ABCD is a quadrilateral. A line DP drawn parallel to diagonal AC from point D, meet BC produced at P. Prove that: are of Delta ABP = " area of " square ABCD

In Delta ABC ,D is a point in side AB and E is a point in AC. If DE is parallel to BC, and BE and CD intersect each other at point 0, prove that: " area "(Delta ACD) =" area "(Delta ABE)

In Delta ABC ,D is a point in side AB and E is a point in AC. If DE is parallel to BC, and BE and CD intersect each other at point 0, prove that: " area " (Delta OBD) = " area " (Delta OCE)

In trapezium ABCD, side AB is parallel to side DC. Diagonals AC and BD intersect at point P. Prove that triangles APD and BPC are equal in area.

In a trapezium ABCD, side AB is parallel to side DC, and the diagonals AC and BD intersect each other at point P. Prove that : DeltaAPB is similar to DeltaCPD .

E is the mid-point of the side AD of the tarapezium ABCD with AB||DC . A line through E drawn parallel to AB intersects BC at F. Show that F is the mid-points of BC.

In triangle ABC, D is mid-point of AB and P is any point on BC. If CQ parallel to PD meets AB at Q, prove that: 2 xx " area " (Delta BPQ) = " area "(Delta ABC)

ICSE-AREA THEOREMS-Exercies 16(C )
  1. In triangleABC,E and F are mid-points od sides AB and AC respectively....

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  2. In parallelogram ABCD, P is mid-point of AB. CP and BD intersect each ...

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  3. The medians of a triangle ABC intersect each other at point G. If one ...

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  4. The perimeter of a triangle is 300 mdot If its sides are in the ...

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  5. In parallelogram ABCD, E is a point in AB and DE meets diagonal AC at ...

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  6. In the following figure, BD is parallel to CA, E is mid-point of CA an...

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  7. In the following figure, OAB is a triangle and AB////DC. If the area...

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  8. E, F, G and H are the mid-points of the sides of a parallelogram ABCD....

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  9. ABCD is a trapezium with AB parallel to DC. A line parallel to AC inte...

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  10. In the given figure, the diagonals AC and BD intersects at point O. If...

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  11. The given figure shows a parallelogram ABCD with area 324sq. cm. P is ...

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  12. In triangleABC,E and F are mid-points od sides AB and AC respectively....

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  13. In parallelogram ABCD, P is mid-point of AB. CP and BD intersect each ...

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  14. The medians of a triangle ABC intersect each other at point G. If one ...

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  15. The perimeter of a triangle ABC is 37 cm and the ratio between the len...

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  16. In parallelogram ABCD, E is a point in AB and DE meets diagonal AC at ...

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  17. In the following figure, BD is parallel to CA, E is mid-point of CA an...

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  18. In the following figure, OAB is a triangle and AB////DC. If the area...

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  19. E, F, G and H are the mid-points of the sides of a parallelogram ABCD....

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  20. ABCD is a trapezium with AB parallel to DC. A line parallel to AC inte...

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