Question

Basic triangle proofs and congruence only

Answer 1

The Postulate that is used to prove triangle ABC ≅ triangle ADC is SAS Congruence Postulate .

In the question ,

it is given that ,

AD ≅ AB ,

AB is perpendicular to BC , that is AB ⊥ BC

and AD is perpendicular to DC , that is AD ⊥ DC .

Now , in triangle ABC and triangle ADC ,

Side AB = Side AD     ......given

angle B = angle D = 90°     .....because AB ⊥ BC  and AD ⊥ DC  .

Side AC = Side AC         ......because common side

hence , triangle ABC ≅ triangle ADC by SAS Congruence Postulate .

Therefore , The Postulate that is used to prove triangle ABC ≅ triangle ADC is SAS Congruence Postulate .

Learn more about Congruence here

brainly.com/question/7888063

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