Question

The figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC:

Answer 1

A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:

For triangles ABD and CDB, alternate interior angles ABD and CDB are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by transitive property. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.

Which statement best describes a flaw in the student's proof?

Angles ADB and CBD are congruent because they are corresponding angles.

Angles ADB and CBD are congruent because they are vertical angles.

DB is congruent to DB by transitive property.

DB is congruent to DB by associative property.

Answer 2

@ganeshie8 @Catseyeglint911

Answer 3

please help

Answer 4

Oh gosh I hated learning this....give me a moment to see if I can remember the topic.

Answer 5

sure

Answer 6

Okay this stuff is just as confusing to me as ever, but I did find this. Read over it and see if it helps: http://openstudy.com/study#/updates/51db08a5e4b0d9a104d968cc

Answer 7

so it is c?