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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