By: ryth an stran

    Isometries is where the image and preimage are congruent.

The preimage is the original figure.

The image is the resulting figure. Translation is moving a shape without rotating or flipping it. “sliding it”

  A composition of transformations is a combination of two or more transformations.

Ina composition, each transformation is performed on the image of the preceding transformation

  A reflection is an isometry in which a figure and its image have opposite orientations.

A reflected image in a mirror appears backwards.

  A rotation is a movement in a circle a certain number of degrees either clockwise or counter clockwise.

Unless stated other wise rotations are counter clockwise.

    Symmetry is if there is an isometry that maps the figure onto itself.

If the isometry is the reflection of a plane figure, the figure is line of symmetry.

A figure that has rotational symmetry is its own image for some rotation of 180 degrees or less.

A figure that has point symmetry has 180 degrees rotational symmetry.

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   A dilation is a transformation whose preimage and image are similar.

The dilation is an enlargement if the scale factor is greater than 1.

The dilation is a reduction if the scale factor is between 0 and 1.

 A glide reflection is the composition of a glide and a reflection across a line parallel to the direction of translation.

 A tessellation is a repeating pattern of figures that completely covers a plane, without gaps or overlaps.

 A glide reflection is the composition of a glide (translation) and a reflection across a line parallel to the direction of translation.