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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
How would you construct an isosceles trapazoid if only given the base angles and the length of the diagonal?
You can't construct a specific trapezoid. You need to know the length of at least one other side, otherwise the width of the trapezoid is indeterminable.
How would you construct a trapezoid given the length of the top and the bottom and the length of the diagonal?
Quite simply providing that it is an isosceles trapezoid otherwise you'll need to know the lengths of the 2 diagonals
Formula for trapezoid?
A trapezoid is a 4 sided quadrilateral with 1 pair of opposite parallel sides of different lengths. Its perimeter is the sum of its 4 sides. Its area is: 0.5*(sum of parallel sides)*height
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.
What is a polygon with 1 sets of parallel lines called?
You can construct any polygon with more than 4 sides such that two sides are parallel. A quadrilateral in which two lines are parallel is called a 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
How do you find height of a trapezoid?
A trapezoid is a polygon. Therefore, a trapezoid has no height
What is a trapezoid with congruent diagonals?
A trapezoid with congruent diagonals is an isosceles trapezoid.
Difference with trapezoid and isosceles trapezoid?
If the two sides which are not parallel have equal lengths, then the trapezoid is called an isosceles trapezoid (standard trapezoid has unequal sides). The base angles in an isosceles trapezoid are equal in measurement, also I know that a trapezoid with two nonparallel sides the same length is called an isosceles trapezoid.
