SOLUTION: can you please help me with this? I need to know how to column proof this. Given: ∠BAD≅∠CAD AD ⟘ BC Prove: ΔABC is isosceles

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Question 480352: can you please help me with this? I need to know how to column proof this. Given: ∠BAD≅∠CAD AD ⟘ BC
Prove: ΔABC is isosceles

Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!


∠BAD ≅ ∠CAD          |  given
  AD ≅ AD             |  reflexive property of congruence
∠BDA is a right angle |  AD ⟘ BC is given
∠CDA is a right angle |  AD ⟘ BC is given
∠BDA ≅ ∠CDA          |  all right angles are congruent.
ΔADB ≅ ΔADC           |  angle-side-angle
  AB ≅ AC             |  corr. parts of congruent triangles
ΔABC is isosceles     |  ΔABC has two congruent sides 

Edwin
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