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By which rule Delta ABD cong DeltaBAC...

By which rule `Delta ABD cong DeltaBAC`

A

SSS

B

ASA

C

SAS

D

RHS

Text Solution

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The correct Answer is:
B
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By which rule Delta ABD cong DeltaACD

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ABC is an isosceles triangle with AB=AC and D is a point on ABC BC such that AD_|_BC (see figure ). To prove that angleBAD =angleCAD a student proceeded as follows In Delta ABD and Delta ACD ,we have AB=AC " " [" Given"] angleB=angleC " "[because AB=AC ] and " "angleADB= angleADC Therefore " " DeltaABD cong Delta ACD " " ["by AAS congruence rule"] So , " "angleBAD =angleCAD " " [by CPCT] What is the defect in the above argument ?

In figure ,D and E are Points on side BC of a Delta ABC such that BD=CE and AD=AE.Show that Delta ABD cong Delta ACE.

In the adjoining figure, BD = CE and angleADB=angleAEC=90^(@) , prove that (i) DeltaABD cong DeltaACE (ii) ABC is an isosceles triangle.

It is given that Delta ABC cong Delta FDE and AB= 5 cm , angle B=40^(@) " and " angle A= 80^(@) then which of the following is true ?

It is given that Delta ABC cong Delta RPQ .Is it true to say that BC =QR ? Why ?

In the given figure, Delta CDE is an equlatel triangle triangle formed on a side CD of a square ABCD.Show that DeltaADE cong Delta BCE.

MTG IIT JEE FOUNDATION-CONGRUENCE OF TRIANGLES -Exercise (Multiple Choice Questions) (LEVEL - 1)
  1. By which rule Delta ABD cong DeltaACD

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  2. By which rule Delta PQR cong DeltaRSP

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  3. By which rule Delta ABD cong DeltaBAC

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  4. By which rule is DeltaPSQ cong DeltaPSR.

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  5. In the given figure, If AB and CD bisect each other at O, then DeltaAO...

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  6. In the given figure, BD and CE are the altitudes of triangle ABC such ...

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  7. In the given figure, BD and CE are the altitudes of triangle ABC such ...

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  8. In the given figure, if ray Az bisects angleBADandangleDCB, then Delta...

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  9. If for ∆ABC and ∆DEF, the correspondence CAB ↔ EDF gives a congruence,...

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  10. By which congruency criterion, DeltaPQR~=DeltaPQS

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  11. Which of the following is not a criterion for congruence of triangle ?

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  12. If DeltaPQR is congruent to DeltaSTU in the given figure, then what is...

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  13. If ∆ABC and ∆DBC are on the same base BC, AB = DC and AC = DB (Fig. 6...

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  14. If DeltaABC~=DeltaPRQ, then angleBandPQ are respectively equal to

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  15. In the adjoining figure, if AB = AD and CB = CD, then whch of the foll...

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  16. In the given figure, if DeltaOAP~=DeltaOBQ, then which of the followin...

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  17. If DeltaEFG~=DeltaPQR and GE is the hypotenuse in DeltaEFG, then right...

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  18. In the given figure, angleAandangleC are right angles and AB = CD. The...

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  19. DeltaABCandDeltaDEF are congruent triangles by SSS congruence conditio...

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  20. DeltaABC~=DeltaXYZ,angleA=50^(@),angleB=60^(@) then measure of angleZ ...

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