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Geometry C4

Geometry C4 Transformations

TermDefinition
vector a quantity that has both direction and magnitude, or size, and is represented in the coordinate plane by an arrow drawn from one point to another.
initial point the starting point of a vector
terminal point the ending point of a vector
horizontal component the horizontal change from the starting point of the vector to the ending point
component form a form of a vector that combines the horizontal and vertical components
transformation a function that moves or changes a figure in some way to produce a new figure
image a figure that results from the transformation of a geometric figure
preimage the original figure before a transformation
translation a transformation that moves every point of a figure the same distance in the same way
rigid motion a transformation that preserves length and angle measure
composition of transformations the combination of two or more transformations to form a single transformation
reflection a transformation that uses a line like a mirror to reflect a figure
line of reflection a line that acts as a mirror for a reflection
glide reflection a transformation involving a translation followed by a reflection
line symmetry if a line can divide a shape or an object into two equal and symmetrical parts, it is said to have this.
line of symmetry the line that divides a shape or an object into two equal and symmetrical parts
rotation the transformation in which a figure is turned about a fixed point
center of rotation the fixed point in a rotation
angle of rotation the angle that is formed by rays drawn from the center of rotation to a point and its image
rotational symmetry a figure has this when the figure can be mapped onto itself by a rotation of 180 degrees or less about the center of the figure
center of symmetry the center of rotation in a figure that has rotational symmetry
congruent figures geometric figures that have the same size and shape
congruence transformation a transformation that preserves length and angle measure
dilation a transformation in which a figure is enlarged or reduced with respect to a fixed point
center of dilation the fixed point in a dilation
scale factor the ratio of the lengths of the corresponding sides of the image and preimage of a dilation
enlargement a dilation in which the scale factor is greater than 1
reduction a dilation in which the scale factor is greater than 0 and less than 1
similarity transformation a dilation or a composition of rigid motions and dilations
similar figures figures that have same shape but not necessarily the same size
Created by: shelleypruit
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