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In the figure, set aC and seg BD interse...

In the figure, set aC and seg BD intersect each other in point P and `(AP)/(CP)=(BP)/(DP)`. Prove that `DeltaABP~DeltaCDP`.

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In `Delta` and `DeltaCDP`
`(AP)/(CP)=(BP)/(DP)`……(Given)
`/_APB~=/_CPD`……..(Vertically opposite angles)
`:.DeltaABP~DeltaCDP` …….(SAS test similarity)
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-SIMILARITY-EXAMPLE TYPE
  1. In trapezium ABCD side AB|| side DC, diagonals AC and BD intersect In ...

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  2. square ABCD is a parallelogram point E is on side BC. Line DE intersec...

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  3. In the figure, set aC and seg BD intersect each other in point P and (...

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  4. In the figure in DeltaABC, point D on side BC is such that /BAC=/ADC. ...

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  5. The ratio of corresponding sides of similar triangles is 3 : 5, then w...

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  6. If DeltaABC~DeltaPQR and AB:PQ=2:3, then fill in the blanks: (A(Delt...

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  7. If DeltaABC~DeltaPQR,A(DeltaABC)=80, A (DeltaPQR)=125, then fill in th...

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  8. DeltaLMN~DeltaPQR, 9xxA(DeltaPQR)=16xxA(DeltaLMN). If QR=20, then find...

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  9. Areas of two similar triangles are 225 sq cm and 81 sq cm. If a side o...

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  10. DeltaABC and DeltaDEF are equilateral triangles. If A(DeltaABC):A(Del...

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  11. In the figure seg PQ|| seg DE, A(DeltaPQF)=20 units PF=2DP,then find ...

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  12. In DeltaABC and DeltaPQR in a one-to-one correspndence (AB)/(QR)=(BC)/...

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  13. If in DeltaDEF and DeltaPQR,/D~=/Q,./R~=/E, then when of the followin...

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  14. In DeltaABC and DeltaDEF/B=/E,/F=/C and AB=3DE then which of the state...

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  15. DeltaABC and DeltaDEF are equilateral triangles, A(DeltaABC):A(DeltaDE...

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  16. In figure sex XY|| set BC, thwn which of the following statements is t...

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  17. In DeltaABC,B-D-C and BD=7, BC=20, then find followig ratios: (A(...

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  18. Ratio of areas of two triangles with equal height is 2:3. If base of t...

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  19. In the figure /ABC=/DCB=90^(@), AB=6,DC=8, then (A(DeltaABC))/(A(Del...

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  20. In the figure PM=10cm, A(DeltaPQS)=100sqcm, A(DeltaQRS)=110sq. cm, the...

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