Question

The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent:

Answer 1

Statement Reasons
1 AB is parallel to DC and AD is parallel to BC Definition of parallelogram
2 angle 1 = angle 2, angle 3 = angle 4 If two parallel lines are cut by a transversal then the _______________ are congruent
3 BD = BD Reflexive Property
4 triangles ADB and CBD are congruent If two angles and the included side of a triangle are congruent to the corresponding angles and side of another triangle then the triangles are congruent by ASA postulate
5 AB = DC,
AD = BC Corresponding parts of congruent triangles are congruent

Answer 2

Which choice completes the missing information for reason 2 in the chart?
alternate interior angles
corresponding angles
same-side interior angles
vertical angles