Question

Please help me answer this.

Answer 1

Answer:

See explanation

Step-by-step explanation:

        Statements                         Reasons

1. $\overline{AD}\parallel \overline{BC}$                                        Given

2. $\angle ADB\cong \angle CBD$      As alternate interior angles when parallel lines AD and BC intersect by ltransversal BD

3. $\overline{AD}\cong \overline{BC}$                                     Given

4. $\overline{BD}\cong \overline{DB}$                     Reflexive property

5. $\triangle ADB\cong \triangle CBD$                  SAS postulate

6.  $\angle ABD\cong \angle CDB$              Corresponding parts of congruent triangles are congruent

7. $\overline{AB}\parallel \overline{CD}$            Inverse alternate interior angles theorem