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In quadrilateral ABCD, the diagonals AC ...

 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`.

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In rhombus ABCD, diagonals AC and BD intersect each other at point O. If cosine of angle CAB is 0.6 and OB = 8 cm, find the lengths of the side and the diagonals of the rhombus.

In the given figure, the diagonals AC and BD of a rectangle ABCD intersect each other at point O. If OA=2x+6 and OD=3x+3, find the value of x.

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ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(A)
  1. P is a point on side BC of a parallelogram ABCD. If DP produced meets ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. State, true or false : Two isosceles-right triangles are similar.

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  18. State, true or false : Two isosceles triangles are similar, if an an...

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  19. State, true or false : The diagonals of a trapezium divide each othe...

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  20. Given : /GHE = /DFE = 90^@, DH = 8, DF = 12, DG = 3x - 1 and DE = ...

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