[math] \ \ \ \ \ \ \ \ \ \ \ \ " Statement " \ \ \ \ \ \ \ \ \ \ \ \ [/math] | [math] " Reason "[/math] |
[math]1. bar{AD} " || " bar{BC} [/math] | [math]1. "Given"[/math] |
[math]2. ang CBD ~= ang ADB [/math] | [math]2. "Alternate interior angles are congruent"[/math] |
[math]3. bar{BC} ~= bar{AD}[/math] | [math]3. "Given"[/math] |
[math]4. bar{BD} ~= bar{BD} [/math] | [math]4. ""[/math] |
[math]5. Delta ABD ~= Delta CDB [/math] | [math]5. "Side-Angle-Side Postulate"[/math] |
[math]6. ang ABD ~= ang CDB [/math] | [math]6. "Corresponding angles of congruent triangles are congruent"[/math] |
[math]7. bar{AB} " || " bar{CD}[/math] | [math]7. "If two lines are cut by a transversal, and alternate interior"[/math] [math] \ \ \ \ \ " angles are congruent, the lines are parallel"[/math] |