Look at the parallelogram abcd shown below: the table below shows the steps to prove that if the quadrilateral abcd is a parallelogram, then its opposite sides are congruent: 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 which choice completes the missing information for reason 2 in the chart? alternate interior angles corresponding angles same-side interior angles vertical angles

The correct option is 1.

Step-by-step explanation:

Statement                                          Reasons

1.   AB is parallel to DC and         Definition of parallelogram

    AD is parallel to BC

2.   angle 1 = angle 2,                   If two parallel lines are cut by a

    angle 3 = angle 4                    transversal then the alternate

                                                      interior angles are congruent

3.    BD = BD                                   Reflexive Property

4.                     ASA postulate

5.   AB = DC, AD = BC                  (CPCTC)

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.

According to alternate interior angles theorem, two parallel lines are cut by a transversal then the alternate interior angles are congruent.

Therefore option 1 is correct.

the answer is c. hope this !

step-by-step explanation:

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