The missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Proving a quadrilateral is a parallelogram
From the question, we are to complete the table to prove that ABCD is a parallelogram
- The Alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting alternate interior angles are congruent. That is, they are equal.
- The reflexive property of congruence states that an angle, line segment, or shape is always congruent to itself
The missing parts in the table can be completed as shown below
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Hence, the missing parts of the given table are
∠1 ≅ ∠4 → Alternate interior angles Theorem
DB ≅ DB → Reflexive property
ΔDAB ≅ ΔBCD → SAS (Side Angle Side)
Learn more on Proving a quadrilateral is a parallelogram here: https://brainly.com/question/5956826
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