Search results
Nov 3, 2022 · Use The National Map Viewer to explore GIS data, see availability of USGS topographic maps, and create your own web map.
Isosceles trapeziums and kites are quadrilaterals with specific properties. An isosceles trapezium has two parallel sides and two equal non-parallel sides, while a kite has two pairs of adjacent equal sides. This distinction leads to differences in their angles and diagonals.
An isosceles trapezoid is a trapezoid that has congruent legs. Thus, the lengths of \(\overline{CD}\) and \( \overline{AB}\) are equal, i.e. \[ \lvert \overline{CD} \rvert = \lvert \overline{AB} \rvert = 5. \ _\square \]
The quadrilaterals with exactly one line of symmetry are a kite and an isosceles trapezium. The line of symmetry cuts the shape into two mirrored halves.
- You Say Trapezium, I Say Trapezoid
- Exactly, Or at least?
- Implicitly Inclusive
- The Challenge of The Isosceles Trapezoid
We have to start with a regional issue: The word “trapezoid” doesn’t mean the same thing in every country. In our FAQ on geometrical formulas, we head one article with two names and a footnote: Taking the last issue first, when we get a question about a trapezium, we generally assume it is used in the European sense (though rarely we might see it i...
Now let’s move on to the other issue, which tends to generate more questions, like this one from 2004: I can’t vouch for the claim that most textbooks state the exclusive definition (saying that figures with a second pair of parallel sides are excluded from being trapezoids); but are they wrong, as this author reportedly says? Or is hewrong? I star...
On the other hand, it may be that they are really using the inclusive definition, but it isn’t obvious. Their wording may sound exclusive, but really beinclusive: We are so used to inclusive definitions that, in effect, we define “two” inclusively: If we say two sides are parallel, we are not mentioning the other sides, which may also be parallel! ...
Let me add one more comment: Under the inclusive definition, a parallelogram is a special kind of trapezoid. An often-unnoticed consequence is that we have to carefully define the other special kind of trapezoid, the isosceles trapezoid. This is commonly defined as a trapezoid in which the non-parallel sides are congruent. There are two problems he...
In Euclidean geometry, an isosceles trapezoid (isosceles trapezium in British English) is a convex quadrilateral with a line of symmetry bisecting one pair of opposite sides. It is a special case of a trapezoid.
People also ask
What is isosceles trapezoid?
Are isosceles trapeziums quadrilaterals?
What's the difference between isosceles trapezium and a trapezoid?
How many parallel sides does a isosceles trapezium have?
What is the difference between isosceles trapezium and kite?
Which is a special case of a trapezoid?
An isosceles trapezium is a trapezium with the non-parallel sides congruent. An additional property of isosceles trapeziums is base angles are congruent.
