The table below shows the steps to prove that if the quadrilateral ABCD is a parallelogram, then its opposite sides are congruent.
Statements
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 alternate angles are congruent
3. 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
4. BD = BD
Reflexive Property

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