Question

MEDAL + FAN!

The figure below shows a quadrilateral ABCD. Sides AB and DC are equal and parallel:

Answer 1

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:

Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and BCD 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 which are congruent
D. form a pair of vertical angles which are congruent

Answer 2

I'm stuck between C and D

Answer 3

highlight them on the drawing to see which it is

Answer 4

Well I thought it was D because it seems to form vertical angles, but I saw a few posts that said it doesn't form vertical angles. I thought it might be C, but I'm not really sure. It doesn't seem to form alternate interior angles.