Geometry question

is it possible to draw a quadrilateral with exactly one line of summetry???

Yes...a trapezoid I think? that's a quadrilateral right? If not, then I don't think there is one with one line...I don't like geometry! I loove algebra and trig!

An isosceles trapezoid or a kite; these are the only two. A normal trapezoid (non-congruent base angles, or 'non-isosceles') has no line of symmetry.

A kite is shaped just like a traditional kite. It can only be bisected symmetrically down the middle, nowhere else.

An isosceles trapezoid has two parallel opposing sides, with the two remaining sides being the same length as one another.

To picture this, take an isosceles triangle and chop off the top horizontally. The remaining shape can only be folded in one place (right down the center), having both halves match exactly.

Make sense?

okay so I pretty much draw a kite..make a line down on th emiddle of it...and it done? I dont chet the whole' chop off th top horizontally part'

As far as the kite, yes, that's right.

Now for the chopped off part...imagine a triangle like you normally see it, with one of the angles pointing up. Now cut off this top angle horizontally and forget about it. Now you're left with the bottom part of the triangle which now has four sides - this is called an isosceles trapezoid. The top and bottom are parallel to each other, but the two sides are not parallel to each other. As long as the sides are the same length as on another and the base angles are the same, it's an isosceles trapezoid.

Google 'Isosceles trapezoid wikipedia' and you'll see what I mean. Wish I could post a picture here but...