Every kite square is a parallelogram

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A kite square can also be a parallelogram at the same time. However, it does not apply to every deltoid, as this square is also called. This is due to the mathematical rules for these geometrical shapes.

Dragon squares are known from kites.
Dragon squares are known from kites. © Rike / Pixelio

Not every dragon square is also a parallelogram at the same time. This is related to the geometric properties.

This marks a dragon square

The term "kite square" refers to the kite, which often has this typical shape.

  • A dragon square, also called a deltoid, has a diagonal axis of symmetry.
  • The two halves of the square are reflected on this axis.
  • This means that two sides of the same length are always adjacent.
  • Parallelogram properties

    A parallelogram is a special feature of the ...

  • The opposite angle are the same size.
  • The convex shape of the deltoid, i.e. when a point is inward, is in the mathematics also known as a square of arrows.

Every parallelogram has these properties

Each parallelogram is also known as a rhomboid.

  • In this case, the opposite sides are each parallel.
  • In addition, the opposite sides are the same length.
  • The opposite angles are also the same size.
  • The sides must not intersect, otherwise an antiparallelogram would arise.
  • If you draw a diagonal through the parallelogram, you will get two identical ones Triangles.

When a dragon square is also a parallelogram

There is a variant in the geometry, in which the dragon square is also a parallelogram at the same time.

  • In the case of a dragon square, there must be two sides of the same length.
  • With a parallelogram, the opposite sides should be of the same length and parallel.
  • In order to combine both geometric shapes, all sides must be of the same length. As a result, they are parallel and mirrored at the same time on the axis of symmetry.
  • This shape is also called a rhombus or a rhombus.

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