2.Given two segments with lengths x and y (x does not equal y), which three special parallelograms meet the three sets of given conditions?

a. One diagonal has length x, the other has length y.
b. The diagonals intersect at right angles.
c. Both diagonals have length y and do not intersect at right angles.

2 answers

If only special parallelograms are considered (i.e. not just any parallelogram), they would be
- rectangle
- rhombus
- square
Note: one of these choices will fit more than one situation.

I will leave it to you to sort out which one is which, and feel free to post your answer for checking.
rhombus is a
rectangle is c
and square is b
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