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.


Given:

∠D and ∠B are right angles

DC || AB


Prove:

△ADC ≅ △CBA

1.∠D and ∠B are right angles


DC || AB

Statement and reason:

1. Given

2. 2. If lines are parallel, then alternate interior angles are equal

3. 3.

4. 4. Hypotenuse Angle Theorem