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Chapter 10
Geometry Vocabulary for Chapter 10
16
Mathematics
9th Grade
03/31/2009

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Term
one to one correspondence
Definition
a relationship between two sets in which a member of one set is matched exactly with a member of the other set
Term
transformation
Definition
one to one correspondence between two sets of points
Term
translation
Definition
transformation in which each point of the figure moves the same distance in the same direction
Term
pre-image
Definition
figure before a translation
Term
image
Definition
figure after a translation
Term
rotation
Definition
through a degrees about O is a transformation such that it maps P->P'. if P is different from O the OP=OP' and POP'=a degrees. if P is O the P' is P.
Term
reflection
Definition
in a line L is a transformation such that it maps P->P' such that P and P' are the same distance (opposite sides) from L. if P is not on L then L is the perpendicular bisector of PP'. if P is on L then P' is P.
Term
isometry
Definition
a transformation that preserves distance and angle measure (figures are congruent)
Term
dialation
Definition
an enlarging or reducing of a figure
Term
glide reflection
Definition
a composition of a translation and a reflection in a line parallel to the direction of translation
Term
rotational symmetry
Definition
a figure has rotational symmetry with respect to a point iff it coincides with its rotational image through less than 360 degrees (figure looks same when turned)
Term
reflectional or line symmetry
Definition
a plane figure has reflectional symmetry iff you can divide it along a line into two parts that are mirror images
Term
translational symmetry
Definition
a pattern has translational symmetry iff it coincides with its translational images (repeated pattern)
Term
polygonal region
Definition
union of a polygon and its interior
Term
altitude of a triangle
Definition
a segment from a vertex perpendicular to the line that contains the opposite side
Term
altitude of a quadrilateral with parallel bases
Definition
the length of the perpendicular segment of the lines containing the two parallel sides
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