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In Fig. 10.92, It is Given that Ab = Cd and Ad = Bc. Prove that δAdc ≅ δCba. - Mathematics

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प्रश्न

In Fig. 10.92, it is given that AB = CD and AD = BC. Prove that ΔADC ≅ ΔCBA. 

 

उत्तर

Given that in the figure AB =CD  and . AD=BC 
We have to prove 

ΔADC≅ΔCBA 

Now,
Consider ΔADC and ΔCBA  

We have 

AB = CD                 [Given] 

BC = AD                 [Given] 

And AC=AC             [Common side] 

So, by SSS congruence criterion, we have 

ΔADC≅ΔCBA 

∴ Hence proved 

 

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Criteria for Congruence of Triangles
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 12: Congruent Triangles - Exercise 12.4 [पृष्ठ ५७]

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 12 Congruent Triangles
Exercise 12.4 | Q 1 | पृष्ठ ५७
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