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By which rule Delta ABD cong DeltaACD...

By which rule `Delta ABD cong DeltaACD`

A

SSS

B

ASA

C

SAS

D

RHS

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The correct Answer is:
A
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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 ?

DeltaABC and DeltaDBC are two isosceles triangles on the same base BC and vertices A and D are on the same side of BC (see figure). If AD is extended to intersect BC at P, show that : (i) DeltaABD cong DeltaACD (ii) DeltaABP cong DeltaACP (iii) AP bisects angleA as well as angleD (iv) AP is the perpendicular bisector of BC.

In a tringle ABC, AB = AC and bisector of angle A meets BC at D. Prove that : (i) DeltaABD cong DeltaACD (ii) AD is perpendicular to BC.

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.

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 ?

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

MTG IIT JEE FOUNDATION-CONGRUENCE OF TRIANGLES -Exercise (Multiple Choice Questions) (LEVEL - 1)
  1. By applying ASA congruence rule, it is to be established that <img cla...

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  2. Which congruence criterion do you use in the following? (a) Given: ...

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  3. By which rule Delta ABD cong DeltaACD

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  4. By which rule Delta PQR cong DeltaRSP

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  5. By which rule Delta ABD cong DeltaBAC

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  6. By which rule is DeltaPSQ cong DeltaPSR.

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

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

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

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

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

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  12. By which congruency criterion, DeltaPQR~=DeltaPQS

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

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

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

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

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

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

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

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

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