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divides a figure into halves that are mirror images. Lines WY and ZX below are lines of symmetry.

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When you translate a figure, the size and shape of the new figure stay the same as the original .Position changes,but not the direction.Since the direction doesn't change, the slopes of the line segments are equal. equal slopes means parallel lines.

(x,y) corresponding to (x+- , y+-)

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A transformation that maps each point of a figure to its mirror image, where a line acts a mirror image, whee a line acts as mirror,

If you drew a line segment from point to its image the segment would be perpendicilar to and bisected by ,the line of reflection.

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ElementA part of a pattern or design that, transformed using at least one type of symmetry transformation, will produce the entire desinghttp

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A figure or design has reflection symmetry if you can draw a line that divides the figure into halves that are mirror images. The line that divides the figure into halves is called the line of symmetry. The figure below has reflection symmetry about vertical line through its center Reflection Symmetry is sometimes referred to as mirror symmetry or line symmetry.

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A transformation that turns a figure counter clock wise about a point

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A figure or design has rotation symmetry if it can be rotater less than a full turn

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a geometric operation that relates each point of a figure to an image point.

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a design that covers a surface without gaps or overlaps and that consists entirely of copies of a basic design.

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an object or design has symmetry if part of it is repeated to produce a balanced pattern.

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a transformation that turns a figure counterclockwise about a point.

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a figure or design has rotation 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

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PER.7&8.

Translation

*Move point by a slide or glide.

*The original and the image are congruent.

*When you draw segments from the original to the image the segments are paralleland equal distance.

Rule(x,y)-----------turn to---------(x+or -a ,y + or -b)

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PER.7&8.
Reflections. * When you reflect the image is congruent to the same as the original. *Can reflect over any line, not just the x-axis or the Y-axis. *The distance from each point or the figure to the line of reflection is equal to the distance from the line of reflection to the image. *When a figure is reflected the angles remain the same. * When the original points is in the same place as the reflected point it is 0n the line, the line of reflections. *A line drawn from original point to the image is perpendicular(90)degree to the line of reflection.c

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PER.7-10

Rotation.

* When you rotate around the center point,the distance from the original to the center is equal to the distance from the center to the image.

*When the figure has rotation symmetry you can turn the figure by certain angles and it 's going to look the same.

*The original and the image must be congruent .

*The point of the center of rotation will stay in the same place.

* The center of rotation can be outside or inside the figure.

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moving an object around a center point.

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Rotation ~ the action of rotating around an axis or center.

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Translation means the process of moving something from one place to another.