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Transformations and Symmetry

Maintaining mathematical literacy and academic content rigor.
Math Teacher: Mr. Santiago.
Across
A figure or design has rotational symmetry if it can be rotated less than a full turn about a point to a position in which it looks the same as the original.
Two figures are congruent if one is an image of the other under a translation, a reflection, a rotation, or some combination of these transformations.
A transformation that slides each point on a figure to an image point a given distance and direction from the original point.
A geometric operation that relates each point of a figure to an image point.
A transformation that produces similar figures. The image of a figure under a similarity transformation, such as a dilation, has the same shape as the original figure, but may be a different size.
An object or design has symmetry if part of it, the basic design element, can be transformed repeatedly to produce the entire design.
A transformation that maps each point of a figure to its mirror image, where a line acts as the mirror.
Down
A figure or design has reflectional symmetry if you can draw a line that divides the figure into halves that are mirror images.
A design has translational symmetry if you can slide it to a position in which it looks exactly the same as it did in its original position.
The number of degrees that a figure rotates.
A fixed point about which a figure rotates.
Two figures are similar if one is an image of the other under a sequence of transformations that includes a dilation.
A line that divides a graph or drawing into two halves that are mirror images of each other.
A transformation that turns a figure counterclockwise about a point.
A transformation that enlarges or reduces a figure by a scale factor about a center point so that the original figure and its image are similar. If the scale factor is greater than 1, the dilation is an enlargement. If the scale factor is less than 1, the dilation is a reduction.