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.

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
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

Question

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. 

 
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
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

anonymous · Answer

Just give me a moment to type out the rest .,..