Determine if each statement is true if
(i) ABCD is a parallelogram
(ii) ABCD is a rhombus
In each case, if true, explain why.
(a) AE = DE
(b) AE = CE
(c) AC = AB
(d) AB = CD
(a) True for both parallelograms and rhombi. Diagonals bisect each other in all
parallelograms
(b) F
(c) True for both parallelograms and rhombi. Opposite sides are congruent in all
parallelograms
(d) True for rhombi, but not for non-rhombi parallelograms. All sides are congruent in a rhombus.
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