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In DeltaABC and DeltaDEF, angleB=angleE,...

In `DeltaABC and DeltaDEF`, `angleB=angleE,angleF=angleC` and AB=3DE. Then, the two triangles are

A

congruent but not similar

B

similar but not congruent

C

neither congruent nor similar

D

congruent as well as similar

Text Solution

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The correct Answer is:
B
We know that, if in tw otriangles corresp[onding two angles are same, then they are similar by AAA similarity criterion. Also, `DeltaABC and DeltaDEF` do not satisfy any rule of congruency, (SAS,ASA,SSS), so both are not congruent.
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NCERT EXEMPLAR-TRIANGLES-Triangles
  1. In figure, two line segments AC and BD intersects each other at the po...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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