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A trapezoid (or trapezium, outside of North America) is a four-sided figure with two parallel sides. In general the parallel sides aren't the same length, so to construct one you would simply:
- Draw two unequal but parallel lines.
- Draw two more lines connecting each end of one line to the nearest ends of the other.
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Are a trapezoid's diagonals ever perpendicular?
Yes, they can be. Here is an example to see how this is true. Construct two perpendicular lines AB and CD that intersect at a point O. Let AO = CO, BO = DO and AO ≠ BO, then ABDC forms an isosceles trapezoid. If the lines are not perpendicular, then also ABDC is an isosceles trapezoid and it has perpendicular diagonals.
Is a trapezoid always an isosceles trapezoid?
No, not every trapezoid is an isosceles trapezoid.
The median of a trapezoid bisects the bases of the trapezoid?
The altitude of a trapezoid bisects the bases of the trapezoid.
What are all the names for the trapezoid?
All the names to classify a trapezoid are a trapezoid and a quadrilateral.
What are different for a trapezoid?
A trapezoid can also take the form of an isosceles trapezoid
