If a quadrilateral has one pair of congruent sides and one pair of congruent angles can it not be a parallelogram?
2006-11-30 13:02:48 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes, graph this. (0,0),(1,0),(1,1),(0,2)
There are two right angles and two sides of length 1, but the figure is not a parallelogram. It is only a trapezoid.
2006-11-30 13:08:12 · answer #1 · answered by bictor717 3 · 0⤊ 0⤋
Yes. For example, say it was a trapezoid with 2 right angles and two perpendicular sides that were congruent.
2006-11-30 21:07:22 · answer #2 · answered by Megan M 2 · 0⤊ 0⤋
Don't use language you don't understand. You don't mean "congruent"; you mean "equal."
And the answer is "clearly":
--------------- A
|
|
------------------------ D
(Top and vertical side are supposed equal; there are two [equal] right-angles; now join A and D: BINGO!)
2006-11-30 21:16:49 · answer #3 · answered by Dr Spock 6 · 0⤊ 0⤋
yeah if the angles are consecutive it is possible it isn't a parallelogram
2006-11-30 21:05:18 · answer #4 · answered by sierramist892002 2 · 0⤊ 0⤋
A trapezoid can have one pair of each.
2006-11-30 21:07:10 · answer #5 · answered by hayharbr 7 · 0⤊ 0⤋
Not always. Such properties also apply to isosceles trapeziums
2006-11-30 21:10:44 · answer #6 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋