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Chapter 4 Vocabulary

Big Ideas Chapter 4 Vocabulary

QuestionAnswer
angle of rotation The angle that is formed by rays drawn from the center of rotation to a point and its image
center of dilation The fixed point in a dilation
center of rotation The fixed point in a rotation
center of symmetry The center of rotation in a figure that has rotational symmetry
component form A form of a vector that combines the horizontal and vertical components
composition of transformations The combination of two or more transformations to form a single transformation
congruence transformation A transformation that preserves length and angle measure. Translations, reflections, and rotations are three types.
congruent figures Geometric figures that have the same size and shape
dilation A transformation in which a figure is enlarged or reduced with respect to a fixed point
enlargement A dilation in which the scale factor is greater than 1
glide reflection A transformation involving a translation followed by a reflection
image A figure that results from the transformation of a geometric figure
initial point The starting point of a vector
line of reflection A line that acts as a mirror for a reflection
line symmetry A line of reflection that maps a figure onto itself
order of rotational symmetry The number of times a figure can be mapped onto itself in one 360° rotation about the center of the figure
preimage The original figure before a transformation
reduction A dilation in which the scale factor is greater than 0 and less than 1... A dilation with a scale factor of 1 2 is an example
reflection A transformation that uses a line like a mirror to reflect a figure
rigid motion A transformation that preserves length and angle measure
rotation A transformation in which a figure is turned about a fixed point
rotational symmetry A figure has rotational symmetry when the figure can be mapped onto itself by a rotation of 180°or less about the center of the figure
scale factor The ratio of the lengths of the corresponding sides of the image and the preimage of a dilation
similar figures Geometric figures that have the same shape but not necessarily the same size; Two geometric figures are similar if and only if there is a similarity transformation that maps one of the figures to the other.
similarity transformation A dilation or a composition of rigid motions and dilations is an example of this transformation.
terminal point The ending point of a vector
transformation A function that moves or changes a figure in some way to produce a new figure. Four examples of these are translations, reflections, rotations, and dilations.
translation A transformation that moves every point of a figure the same distance in the same direction
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
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