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In a trapezium ABCD, side AB is parallel...

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`.

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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 : PA xx PD = PB xx PC .

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 quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point P. If AP : CP = 3:5, Find : DeltaAPB : DeltaADB

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point P. If AP : CP = 3:5, Find : DeltaAPB : DeltaCPB

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point P. If AP : CP = 3:5, Find : DeltaDPC : DeltaAPB

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point P. If AP : CP = 3:5, Find : DeltaADP : Delta APB

ABCD is a trapezium such that AB||CD. Its diagonals AC and BC intersect each other at O. Prove that (AO)/(OC) = (BO)/(OD)

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find DeltaAOB: DeltaACB

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. In the figure, given below, straight lines AB and CD intersect at P, a...

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  2. In the figure, given below, straight lines AB and CD intersect at P, a...

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  3. In a trapezium ABCD, side AB is parallel to side DC, and the diagonals...

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  4. In a trapezium ABCD, side AB is parallel to side DC, and the diagonals...

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  5. P is a point on side BC of a parallelogram ABCD. If DP produced meets ...

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  6. P is a point on side BC of a parallelogram ABCD. If DP produced meets ...

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  7. In quadrilateral ABCD, the diagonals AC and BD intersect each other at...

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  8. In quadrilateral ABCD, the diagonals AC and BD intersect each other at...

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  9. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  10. In DeltaABC, angle ABC is equal to twice the angle ACB, and bisector o...

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  11. In DeltaABC, BM | AC and CN | AB, show that : (AB)/(AC) = (BM)/(CN) ...

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  12. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  13. In the given figure, DE////BC, AE = 15 cm, EC = 9 cm, NC = 6 cm and BN...

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  14. In the given figure, AD = AE and AD^2 = BD xx EC. Prove that : trian...

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  15. In the given figure, AB////DC, BO = 6 cm and DQ = 8 cm, find: BP xx D...

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  16. Angle BAC of triangle ABC is obtuse and AB = AC. P is a point in BC su...

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  17. State, true or false : Two similar polygons are necessarily congruen...

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  18. State, true or false : Two congruent polygons are necessarily simila...

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  19. State, true or false : All equiangular triangles are similar.

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  20. State, true or false : All isosceles triangles are similar.

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