anonymous
  • anonymous
Quadrilateral ABC has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to ABCD
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mathstudent55
  • mathstudent55
|dw:1439479120097:dw|
mathstudent55
  • mathstudent55
Both pairs of opposite sides are parallel. There is a quadrilateral whose definition is exactly that. Do you know which quadrilateral that is?
anonymous
  • anonymous
Parallelogram

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mathstudent55
  • mathstudent55
Correct. 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
  • mathstudent55
In 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
  • anonymous
Thanks for your help
mathstudent55
  • mathstudent55
If 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.
mathstudent55
  • mathstudent55
You're welcome.

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