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anonymous
 one year ago
Quadrilateral ABC has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to ABCD
anonymous
 one year ago
Quadrilateral ABC has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to ABCD

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mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0dw:1439479120097:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Both pairs of opposite sides are parallel. There is a quadrilateral whose definition is exactly that. Do you know which quadrilateral that is?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0Correct. From the two pairs of parallel opposite sides, we know it's a parallelogram. Now let's look at the second piece of information. Sides AB and DC are congruent. dw:1439479386915:dw

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0In a parallelogram, opposite sides are congruent. This information does not add anything to what we already knew, so the conclusion is that polygon ABCD is a parallelogram.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks for your help

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0If two adjacent sides were congruent, such as sides AB and BC, then all sides would be congruent, and we would be able to conclude it's a rhombus. This is not the case, so all we know is it's a parallelogram.
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