<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...
<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 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 alternate interior angles are congruent |
| 3 | triangles ADB and CBD are congruent | If 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 |
| 4 | BD = BD | Reflexive Property |
| 5 | AB = DC, AD = BC | Corresponding parts of congruent triangles are congruent |
Which statement is true about the table?
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