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3 years ago

Please help me answer this.

Mathematics

1 answer:

adoni [48]3 years ago

8 0

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

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