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If in DeltaABC and DeltaDEF , (AB)/(DE)=...

If in `DeltaABC and DeltaDEF` , `(AB)/(DE)=(BC)/(FD)`, then they will be similar, when

A

`angleB=angleE`

B

`angleA=angleD`

C

`angleB=angleD`

D

`angleA=angleF`

Text Solution

Verified by Experts

The correct Answer is:
C

Given, in `DeltaABC and DeltaEDF`,
`(AB)/(DE)=(BC)/(FD)`

By converse of basic propertionality therom,
`DeltaABC~DeltaEDF`
Then , `angleB=angleD,angleA=angleE`
and `angleC=angleF`
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NCERT EXEMPLAR-TRIANGLES-Triangles
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  2. If DeltaABC~DeltaDFE,angleA=30^@,angleC=50^(@),AB=5 cm,AC=8 cm and DF=...

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  4. If DeltaABC~DeltaQRP,(ar(DeltaABC))/(ar(DeltaPQR))=9/4, AB=18 cm and B...

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  5. If S is a point on side PQ of a DeltaPQR such that PS=QS=RS, then

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  6. Is the triangle with sides 25 cm, 5 cm and 24 cm a right triangle? Giv...

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  7. It is given that DeltaDEF~DeltaRPQ. Is it true to say that angleD = an...

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  8. A and B are respectively the points on the sides PQ and PR of a Delta ...

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  9. In figure BD and CE intersect each other at the point P. IsDeltaPBC~De...

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  10. In DeltaPQR and DeltaMST, angleP=55^(@),angleQ=25^(@),angleM=100^(@)an...

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  11. Is the following statement true? Why? "Two quadrilaterals are similar,...

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  12. Two sides and the perimeter of one triangle are respectively three tim...

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  13. If in two right triangles, one of the acute angles of one triangle is ...

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  14. The ratio of the corresponding altitudes of two similar triangles is 3...

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  15. D is a point on side QR of DeltaPQR such that PDbotQR. Will it be corr...

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  16. In figure, if angleD=angleC, then it is true that DeltaADE~DeltaACB? W...

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  17. Is it true to say that, if in two triangles, an angle of one triangle ...

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  18. In P Q R ,\ \ Q M|P R and PR^2-P Q^2=Q R^2.Prove that Q M^2=P MxxM R

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  19. Find the value of x for which DEabs()AB in given figure.

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