The Trapezoid Exposed
This week’s interview:
What’s So Special About Trapezoids?
Head First: Hey, Trapezoid, nice to have you on
the show tonight.
Trapezoid: It’s a real pleasure. I don’t seem to get
out as much as some of the other shapes.
Head First: What do you mean?
Trapezoid: Well, everyone knows about Square and
Rectangle, although they’re kind of boring if you
ask me. Kite gets good press because it looks like…
well…a kite. But me? Everyone forgets about me.
Head First: I notice that you didn’t mention
Parallelogram. Don’t you guys have something in
Trapezoid: Some would say we’re family, and I
guess you could say we’re kinda like cousins. I have
only one pair of parallel sides, and Parallelogram
has two. But don’t you think that’s just being greedy?
Parallelogram’s just a lopsided, funny-looking
Rectangle if you ask me, and I don’t limit myself like
Head First: But aren’t you just like Triangle but
with one of the points chopped off ?
Trapezoid: That’s one way you could talk about
me, yes, but the key thing is that I have one pair of
parallel sides, and Triangle doesn’t. Um, I wouldn’t
talk to Triangle about that, he’s still a bit sensitive.
Head First: But don’t you have one nice thing in
common with Triangle?
Trapezoid: You did your research, didn’t you?
We’ve all heard of an Isosceles Triangle, right? Well,
Trapezoids can be Isosceles, too.
Head First: What’s special about that?
Trapezoid: It’s still a Trapezoid, but with congruent
legs. And by legs I mean the sides that aren’t bases.
Isosceles Trapezoid is a bit more regular than me,
there’s more symmetry about him. He’s thinking
about getting into modeling, from what I hear. At the
very least, it must make shaving much easier.
Head First: What about diagonals?
Trapezoid: What about them? Sure, I have them,
but I can’t say much about them. Now Isosceles
Trapezoid, he has congruent diagonals, and he has
some congruent angles, too. Some guys have all the
Head First: Well, that’s all we have time for,
Trapezoid, thanks for stopping by.
A trapezoid is a four-sided shape
with one pair of parallel sides called
Since the bases are parallel, this
means that you have two pairs of
An isosceles trapezoid is a trapezoid
with congruent “legs.” The lower
base angles are congruent, the upper
base angles are congruent, and the
diagonals are congruent, too.
you are here 4 267