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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Both pairs of opposite sides are parallel.
There is a quadrilateral whose definition is exactly that.
Do you know which quadrilateral that is?
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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.
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.
Thanks for your help
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.