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"Displayed" is not a type of symmetry.

There are two types of symmetry:

- Reflectional (or mirror) in which a line can be placed on a shape in such a way that if the shape was folded along that line the two halves would match exactly. For example the letter W has a line of symmetry that runs vertically down its middle which allows the two halves to be folded onto each other to form a single V. The line is like placing a mirror on the shape.
- Rotational symmetry in which a shape is rotated about some point and fits back onto its initial position; in this case, the rotational symmetry is the number of times the shape fits onto its initial position when turning around 360°. When I was at school every shape had a rotational symmetry of at least 1 as the shape must fit back onto itself once it has turned 360°, however now it appears that it has changed so that if a shape only fits onto itself after a complete rotation it has no rotational symmetry, or a rotational symmetry of 0, but if it fits more than once, then the final fit counts, eg a rectangle has a rotational symmetry of 2 as it fits back onto itself after 180° and 360°.

Q: Which type of symmetry is displayed?

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One type of symmetry is rotation. The second type of symmetry is translation. The third type of symmetry is reflection.

Bilateral symmetry

bilateral symmetry

Bilateral symmetry

Bilateral symmetry

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Linear (horizontal as well as vertical), plus rotational (180 deg).

One type of symmetry is rotation. The second type of symmetry is translation. The third type of symmetry is reflection.

Bilateral Symmetry

Bilateral symmetry

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Arial symmetry

Bilateral symmetry.

Bilateral Symmetry

Arial symmetry

Bilateral symmetry.

Radial Symmetry

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