Answer: See the attached image below for the proof table.
Step-by-step explanation:
We start with what we're given. Simply repeat the given information word for word. This is statement 1 of the proof.
Statement 2 mentions AB is parallel to CD. This is valid due to the definition of a parallelogram. The name means "two sets of opposite parallel sides. Statement 3 is a similar situation.
Statement 4 relies on statement 2. The red angles in the diagram are congruent alternate interior angles. They are only congruent because of AB parallel to CD.
Statement 5 relies on statement 3 for similar reasoning as the previous paragraph. Focus on the blue angles.
Statement 6 is hopefully self explanatory so there's not much for me to mention here.
Statement 7 has us connect statements 4, 5, and 6 to prove triangle ADB is congruent to triangle CBD. We use the ASA (angle side angle) theorem here.
Statements 8 and 9 finish up the proof. CPCTC stands for "Corresponding parts of congruent triangles are congruent". If two triangles are congruent, then their corresponding pieces must be congruent as well. It would be like saying two houses are identical if and only if their front doors are identical.