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https://drive.google.com/drive/folders/0B-5cvwMPaRi-SmZSMFVLcVZ5U0E?usp=sharing

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https://drive.google.com/drive/folders/0B-5cvwMPaRi-WG5IaXNxUWl6ckE?usp=sharing

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A composite of reflections in two intersecting lines is a rotation about the point of intersection of the two lines. The measure of the angle of rotation is twice the measure of the angle form the first line of reflection to the second.
Corollary 1:A composite of reflections in perpendicular lines is a half turn about the point where the lines intersect

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A composite of two reflections in two parallel lines is a translation. The translation glides all points through twice the distance from the first line to the second

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The composite of two isometries is an isometry

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A dilation maps any triangle to a similar triangle
Corollary 1:A dilation maps an angle to a similar angle
Corollary 2:A dilation Do,k maps any segment to a parallel segment k times as long
Corollary 3:A dilation Do,k maps any polygon to a similar polygon whose area is K^2 times as large

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A rotation is an isometry

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A translation is an isometry

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A reflection in a line is an isometry

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Corallary 1:An isometry maps an angle to congruent angle
Corallary 2:An isometry maps a polygon to a polygon with the same area

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a combination of 2 or more transformations

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2 functions-domain and range

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a transformation of a translation and then a reflection

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created when a shape is repeated over and over again

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this symmetry is when half the image is equivalent to the other half

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rotational symmetry is when the image of the shape is the same after a rotation

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correspondence in shape, size, and relative position of parts on opposite sides of a dividing line.

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a reflection is an opposite transformation. Orientation refers to the arrangement of points relative to each other.

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a polygon that is equiangular and equilateral

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a 4 sided shape, in which the 2 pairs of adjacent lines are equal.

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a 4 sided shape, that has a pair of opposite parallel lines.

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a 4 sided shape in which there are 2 pairs of parallel lines, which opposite lines are equal, and opposite angles are equal.

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a 4 sided shape in which there are 2 pairs of parallel lines, 4 90 degree angles, and 2 pairs of congruent sides.

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The image is the figure after going through its transformation or change.

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The pre-image is the figure before it goes through its transformation or change.

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a transformation in which the figure is resized, but all sides are a ratio.

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a transformation in which the figure is reflected across a line

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a transformation in which the plane of a figure is rotated at a fixed point  not on the figure.

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a transformation of the plane that slides every point of a figure the same distance in the same direction

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a transformation that is invariant with respect to distance. Isometries: Reflections, rotations, translations, and glide reflections.

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motion in which preserves distance. 4 different motions: Reflection, Glide Reflection, Rotation, and translation

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A term for 4 different specific ways to manipulate the shape of a point, line, or shape. Original shape is Pre-image and after image is called Image