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Which could NOT be side lengths of a parallelogram?

A. 2 yd, 2 yd, 2 yd, 2 yd
B. 3 cm, 2 cm, 2 cm, 3 cm
C. 4 m, 3 m, 4 m, 4 m
D. 5 in., 5 in., 3 in., 3 in.

please help :D

1 Answer

4 votes
We ASSUME that the side lengths are listed in order (clockwise or counter-clockwise).

A parallelogram has OPPOSITE sides equal.
Adjacent sides can be equal as well (rhombus).
If two different pairs of identical adjacent sides (such as 3,2,2,3), it is a kite, not a parallelogram.
So
A. rhombus (a special kind of parallelogram)
B. a kite, opposite sides not equal (3/2, or 2/3), so not parallelogram.
C. Not a parallelogram, nor a kite.
D. Another kite (not parallelogram)

User Keval Gangani
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