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Butterflies, Pinwheels, and Wallpaper

Leave a box blank if there is a space between words.
Across
A figure or design can be rotated less than a full turn about a point to a position in which it looks the same as the original
A transformation that maps each point of a figure to its mirror image, where a line acts as a mirror
To draw a rough outline of something
Two figures that can be slid, flipped, or turned so one figure fits exactly on the other
Produces similar figures, but may be a different size. Can be a sequences of a rigid motion and a dilation
To explain or tell in detail
The figure can be divided into halves that are mirror images
One figure is an image of the other under a sequence of transformation that includes a dilation
A transformation that enlarges or reduces a figure by a scale factor about a center point so that the original figure and its image is similar
Down
If you can slide a shape into a position that looks exactly the same as it did in its original position
A fixed point about which a figure rotates
A geometric operation that relates each point of a figure to an image point
Divides a figure into halves that are mirror images
A part of a pattern or design that, when transformed using at least one type of symmetry transformation, will produce the entire design
If part of an object can be transformed repeatedly to produce the entire design
To match a definition or a description to an object or to recognize something and be able to name it
A transformation that slides each point on a figure to an image point a given distance and direction from the original point
To give facts and details that make an idea easier to understand
A transformation that turns a figure counterclockwise about a point