2006-12-27 05:55:05 · 8 answers · asked by Angel-Iris V 1 in Science & Mathematics ➔ Mathematics
An Angel-Iris never does her own homework?
2006-12-27 06:02:29 · answer #1 · answered by cirestan 6 · 0⤊ 0⤋
False. But is a parallelogram a trapezoid? Here you get into definitional differences.
Some people define a trapezoid as a quadrilateral with exactly one set of parallel sides. This is the exclusive definition. In that case a parallelogram is not a trapezoid.
Other people define a trapezoid as a quadrilateral with one set of parallel sides. Please note, the preceeding sentence does NOT preclude the possibility of a second set of parallel sides. This is the inclusive definition. Therefore, under this definition, a parallelogram is a special case of a trapezoid with two sets of parallel sides. I prefer this definition because it allows a better logical categorization of the quadrilaterals.
It would be nice if everybody agreed on the definition of a trapezoid but they don't.
Here is a link discussing the two definitions of trapezoid.
http://www.math.washington.edu/~king/coursedir/m444a00/syl/class/trapezoids/Trapezoids.html
2006-12-27 09:40:04 · answer #2 · answered by Northstar 7 · 0⤊ 0⤋
No, a parallelogram has two parallel sides, the top ones and the side ones.. A trapezoid has only one set of sides. Though, if you add a triangle to a trapezoid, you'll get a parallelogram.
2006-12-27 05:59:31 · answer #3 · answered by Beata 2 · 1⤊ 0⤋
No, Parallelograms have 2 sts of 2 sides that are parallel to each other. A trapezoid only has on set of parallel sides. They're all quadrangles.
2006-12-27 06:04:51 · answer #4 · answered by Anonymous · 0⤊ 0⤋
NO! A trapezoid has only one pair of sides parallel
a Parallelogram has two pair of sides parallel
2006-12-27 06:14:23 · answer #5 · answered by David C 2 · 0⤊ 0⤋
This is false.
It is a requirement for a parallelogram to have both of its opposite sides parallel. For a trapezoid, only one set of opposite sides are parallel.
2006-12-27 06:13:22 · answer #6 · answered by Puggy 7 · 0⤊ 0⤋
False. A trapazoid only has 1 set of parallel lins, a parallelegram has 2.
2006-12-27 07:50:17 · answer #7 · answered by yupchagee 7 · 0⤊ 0⤋
PARALLELOGRAM
(A rectangle pushed over - two pairs of parallel sides)
No lines of symmetry
Rotational symmetry order 2
TRAPEZIUM
(One pair of parallel sides)
Only the isoceles trapezium has a line of symmetry
No rotational order symmetry
2006-12-27 06:46:45 · answer #8 · answered by SHIBZ 2 · 0⤊ 0⤋