Answer
To demonstrate that quadrilateral ABCD is a parallelogram, the phrase that accurately completes the proof is “Angle DBC and angle ADB form a pair of alternate interior angles which are congruent.” Explanation: For a quadrilateral to be a parallelogram, its opposite sides must be equal and parallel. We already know that AB is parallel to DC and that AB equals DC. Now, we need to establish that AD is parallel to BC and that AD equals BC. The congruency established shows AD equals BC. Additionally, to prove that AD is parallel to BC, we need to show that the alternate interior angles are equal. Thus, the phrase ‘Angle DBC and angle ADB form a pair of alternate interior angles which are congruent’ is the one that completes the proof.
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