Question

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent: For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by _______________. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC. Which phrase best completes the student's proof?

Answer 1

The Reflexive property:

Any value is congruent itself, then DB is congruent to DB by Reflexive property.

Answer 2

I think DB is congruent to DB by reflexive property. (Same line)