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Chapter 9 - Geo.
Chapter 9 Vocabulary - Properties of Transformations
Question | Answer |
---|---|
angle of rotation | the angle formed by rays drawn from center of rotation to a point and its image |
center of rotation | see rotation |
center of symmetry | see rotational symmetry |
component form | the form of a vector that combines the horizontal and vertical components of a vector |
composition of transformation | the result when two or more transformations are combined to produce a single transformation |
dimensions | the number of rows and columns in the matrix; if matrix row has m rows and n columns, the dimensions of the matrix are m x n |
element | a number in a matrix |
glide reflection | a transformation in which every point P is mapped to a point P"by the following steps; (1) A translation maps P to P'; (2) A reflection in a line k parallel to the direction of the translation maps P' to P" |
horizontal component | the horizontal change from the initial point to the terminal point of a vector |
image | the new figure that is produced in a transformation |
initial point | the starting point of a vector |
isometry | a transformation that preserves length and angle measure |
line of reflection | see reflection |
line of symmetry | see line symmetry |
line symmetry | a figure in the plane has line symmetry if the figure can be mapped onto itself by a reflection in a line; this line of reflection is a line of symmetry |
matrix | a rectangular arrangement of numbers in rows in columns |
preimage | the original figure in a transformation |
rotational symmetry | a figure in the plane has rotational symmetry if the figure an be mapped onto itself by a rotation of 180 degrees or less about the center of the figure; this point is the center of symmetry |
scalar multiplication | the process of multiplying each element of a matrix by a real number or scalar |
terminal point | the ending point of a vector |
vector | a quantity that has both direction and magnitude, and is represented in the coordinate plane by an arrow drawn from one point to another |
vertical component | the vertical change from the initial point to the terminal point of a vector |