The terms you've listed refer to different types of quadrilaterals in geometry. Here’s a breakdown of how they relate to one another and what they can be called:
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Quadrilateral: A four-sided polygon. All the other shapes you've mentioned fall under this category.
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Parallelogram: A type of quadrilateral where opposite sides are parallel. Examples include rhombuses, rectangles, and squares.
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Rhombus: A specific type of parallelogram where all sides are of equal length. It can also be referred to as an equilateral parallelogram.
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Square: A specific type of rhombus (and rectangle) where all sides are equal, and all angles are right angles (90 degrees). It can also be described as a regular quadrilateral.
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Trapezoid (or Trapezium in some regions): A quadrilateral with at least one pair of parallel sides. In the U.S., a trapezoid is typically defined in this way, while in some other countries, a trapezium is defined as having no parallel sides.
Other Names or Descriptions
- Kite: A quadrilateral with two distinct pairs of adjacent sides that are equal, which is not necessarily a rhombus or a parallelogram.
- Rectangle: A type of parallelogram with all right angles, but with sides that may be of different lengths.
- Rhomboid: A parallelogram in which adjacent sides are of unequal lengths and angles are not right angles.
In summary, while the terms you've listed describe specific relationships among various quadrilaterals, they can also be categorized under broader terms like "quadrilateral" or "polygon."
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