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In Delta DEF and Delta PQR, it is give...

In `Delta DEF and Delta PQR`, it is given that `angle D=angle Q and angle R= angleE`, then which of the following is not true?

A

`(EF)/(PR)=(DF)/(PQ)`

B

`(DE)/(PQ)=(EF)/(RP)`

C

`(DE)/(QR)=(DF)/(PQ)`

D

`(EF)/(RP)=(DE)/(QR)`

Text Solution

Verified by Experts

The correct Answer is:
B
Given, in `DeltaDEF` and `DeltaPQR`, `angleD=angleQ,angleR=angleE`

`therefore DeltaDEF~DeltaQRP` [by AAA similarity criterion]
`rArrangleF=angleP` [corresponding angles of similar triangles]
`therefore (DF)/(QP)=(ED)/(RQ)=(FE)/(PR)`
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NCERT EXEMPLAR-TRIANGLES-Triangles
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  2. In figure, two line segments AC and BD intersects each other at the po...

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  3. In Delta DEF and Delta PQR, it is given that angle D=angle Q and ang...

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  4. In DeltaABC and DeltaDEF, angleB=angleE,angleF=angleC and AB=3DE. Then...

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  5. If DeltaABC~DeltaPQR with (BC)/(QR)=1/3,then (ar(DeltaPRQ))/(ar(DeltaB...

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  6. If DeltaABC~DeltaDFE,angleA=30^@,angleC=50^(@),AB=5 cm,AC=8 cm and DF=...

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  7. If in DeltaABC and DeltaDEF , (AB)/(DE)=(BC)/(FD), then they will be s...

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

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

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

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

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

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

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

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

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

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

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

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

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

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