SOLUTION: n a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle ADC is congruent to triangle CBA given that ∠D a

Algebra ->  Geometry-proofs -> SOLUTION: n a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle ADC is congruent to triangle CBA given that ∠D a      Log On


   

Question 1196107: n a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that triangle ADC is congruent to triangle CBA given that ∠D and ∠B are right angles and DC is parallel to AB.
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
Given:
∠D and ∠B are right angles
DC || AB
Prove:
△ADC ≅ △CBA


STATEMENT --------------------------- REASON

1. ∠D and ∠B are right angles --------------------------- Given
2. m∠BAC = m∠DCA --------------------------- If lines are parallel, then alternate interior angles are equal
3. mAC = mAC --------------------------- Reflexive Equality
4. △ADC ≅ △CBA ---------------------Hypotenuse-Angle Theorem