I need help asap please and thank you
The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel: (image below)
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:
Side AB is equal to side DC, and DB is the side common to triangles ABD and CDB. Angle ABD is congruent to angle CDB by Alternate Interior Angles. Therefore, the triangles ABD and CDB are congruent by SAS postulate. By CPCTC, angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB ________. Therefore, AD is parallel and equal to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Which phrase best completes the student's proof?
A- are congruent by the AAS postulate
B- are congruent by the ASA postulate
C- form a pair of alternate interior angles that are congruent
D- form a pair of vertical angles that are congruent