Hello there! Yes. 21/48 would have to be simplified to get a simpler fraction. Keep in mind that whatever you do to the numerator, you must do to the denominator. If you write out the factors for each of the number, you see that they both have a factor of 3. We can divide both sides by 3 to get 7/16. We can't divide that fraction anymore, so 7/16 is a fraction in simplest form.
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False
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2
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Answer: No
Currently we don't have enough information to prove this quadrilateral is a parallelogram. One piece of information that would be useful would be if the other diagonal is bisected. If that's the case, then we have a parallelogram (we would first prove the triangles congruent and then use the corresponding congruent angles to set up the parallel lines). Unfortunately, we only know about one diagonal being bisected, but not both, so we don't have enough info.