Geometry Pre-AP Vocab 1.1 Part I

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Created by:

cyxdubiel  on August 28, 2011

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geometry pre-ap vocab

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I have Ms. Mulder

1.1 is 1st week of the 1st 6th weeks

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Freshman Study Group 11' - 12'

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Geometry Pre-AP Vocab 1.1 Part I

translation
a transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector
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translation a transformation along a vector such that each segment joining a point and its image has the same length as the vector and is parallel to the vector
vector a straight line segment whose length is magnitude and whose orientation in space is direction (Despicable Me movie!)
horizontal translation along vector (a,0) (x, y) -> (x+a, y)
vertical translation along vector (0,b) (x, y) _> (x, y+b)
genreral translation along vector (a,b) (x, y) _> (x+a, y+b)
rotation a transformation about a point P, called the center of rotation, such that each point and its image are the same distance from P, and such that all angles with vertex P formed by a point and its image are congruent
origin the point of intersection of coordinate axes
90° rotation about the origin (x, y) _> (-y, x)
180° rotation about the origin (x, y) _> (-x, -y)
reflection a transformation across a line, called the line of reflection, so that the line of reflection is the perpendicular bisector of each segment joining each point and its image
perpendicular bisector a segment, ray, line, or plane that is perpendicular to a segment at its midpoint
reflection across the x-axis (x, y) -> (x, -y)
reflection across the y-axis (x, y) -> (-x, y)
reflection across the line y=x (x, y) -> (y, x)

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