<object:standard:macc.912.g-co.3.11>Look at the parallelogram ABCD shown below:    The table below shows the steps to prove that if the quadrilateral ABCD is...

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<object:standard:macc.912.g-co.3.11>Look at the parallelogram ABCD shown below: 

A parallelogram ABCD is drawn with BD as the diagonal. 

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

 StatementReasons
1AB is parallel to DC and AD is parallel to BCDefinition of parallelogram
2angle 1 = angle 2, angle 3 = angle 4If two parallel lines are cut by a transversal then the alternate interior angles are congruent
3triangles ADB and CBD are congruentIf two sides and the included angle of a triangle are congruent to the corresponding sides and angle of another triangle , then the triangles are congruent by ASA postulate
4BD = BDReflexive Property
5AB = DC, 
AD = BC
Corresponding parts of congruent triangles are congruent


Which statement is true about the table?

 

 

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