Is a trapezoid a square?

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a square, there are always two pairs of parallel sides, so every square is also a trapezoid. Conversely, only some trapezoids are squares.
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Can a trapezoid be used to describe a square?

No. In order for a quadrilateral to be a trapezoid, it must have exactly one pair of parallel sides. A right trapezoid, therefore, has exactly one pair of right angles. However a square would be a right parallelogram (which is the current definition of a rectangle).
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What is the difference of a trapezoid and a square?

A square has four 90-degree angles, four sides that are all equal, and two pairs of parallel sides. The trapezoid has two sides that are parallel to each other.
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Are squares and rectangles trapezoids?

Some rectangles may be squares, but not all rectangles have four congruent sides. All squares are rectangles however. The correct answer is that all trapezoids are quadrilaterals.
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Is every trapezoid is a rectangle?

NO. A trapezoid is defined (in North America) to be a quadrilateral that has exactly one pair of parallel sides. (This object is called a trapezium in British English.) A quadrilateral with two pairs of parallel sides is called a parallelogram; a parallelogram with right angles is a rectangle.
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What is a SQUARE, anyway? Part 5: Is a Square a Trapezoid? Is a Trapezoid a Square?



Why is a trapezoid a rectangle?

Explanation: The definition of a trapezoid is that it is a quadrilateral with exactly one pair of parallel sides. Rectangles and squares have two pairs of parallel lines. Using the idea of exactly one pair of parallel sides, the trapezoid cannot be a square or rectangle.
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Can a trapezoid be a square True or false?

The answer is false. A trapezoid is not a square. A trapezoid may have two right angles as an interior angle called a right trapezoid.
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Is a trapezoid a triangle?

Finally, let's look at trapezoids. A trapezoid is lesser known than a triangle, but still a common shape. A trapezoid is a four-sided, two-dimensional shape with two parallel sides. Trapezoids have two bases.
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Which shape is not a trapezoid?

If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid; it's something called a trapezium instead. Similarly, if the shape has two sets of parallel sides, it's not a trapezoid. It's either a rectangle, a parallelogram shape or a rhombus.
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What shape is a trapezoid?

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
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Is rhombus a square?

A rhombus is a square. This is sometimes true. It is true when a rhombus has 4 right angles. It is not true when a rhombus does not have any right angles.
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Are all quadrilaterals squares?

There are 5 types of quadrilaterals – Rectangle, Square, Parallelogram, Trapezium or Trapezoid, and Rhombus.
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How do you tell if it's a trapezoid?

A trapezoid (also known as a trapezium) is a flat 2D shape with four straight sides. It has one pair of parallel sides which are usually the top and bottom sides. The parallel sides are called the bases, while the non-parallel sides are called the legs.
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Are all squares rectangles?

All squares are rectangles but all rectangles are not squares.
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Is a trapezoid a rhombus?

A trapezoid can be called a rhombus when all sides are equal in length.
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Is a trapezoid also a parallelogram?

A trapezoid has one pair of parallel sides and a parallelogram has two pairs of parallel sides. So a parallelogram is also a trapezoid.
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What category does a trapezoid fall under?

Meaning. A trapezoid is a quadrilateral with at least one pair of parallel sides.
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Are all isosceles trapezoids are squares?

Rectangles and squares are usually considered to be special cases of isosceles trapezoids though some sources would exclude them. Another special case is a 3-equal side trapezoid, sometimes known as a trilateral trapezoid or a trisosceles trapezoid.
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Is rectangle a square?

From the properties of rectangle and square, we come to know that every rectangle is not a square but every square can be a rectangle. A square is a special kind of closed figure with four straight sides and four right angles that also has sides that all have equal length.
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What can a square be classified as?

Since a square has 4 right angles, it can also be classified as a rectangle. Since a square has 4 sides of equal length, it can also be classified as a rhombus. The opposite sides are parallel so a square can also be classified as a parallelogram.
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Is a diamond a trapezoid?

Rhombus and Trapezoid are well-defined mathematical objects while diamond shape is a layman's term. Each shape has four sides, and diamond shape refers to a rhombus. Rhombus has equal sides, with opposing sides parallel to each other. Trapezoid has unequal sides in general, with two sides parallel to each other.
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What are 3 properties of a trapezoid?

These are the properties of a trapezoid that make it stand out from other quadrilaterals:
  • The bases (the top and bottom) are parallel to each other.
  • Opposite sides of a trapezoid (isosceles) are of the same length.
  • Angles next to each other sum up to 180°
  • The median is parallel to both the bases.
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What shape can never be a square?

Here is an example when a rhombus is not a square: 2. A triangle is a parallelogram. This is never true.
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Which quadrilateral is not a square?

A rhombus is a quadrilateral with four equal sides.
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