Introduction To Geometry Summary Sheet

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Ch 1 Summary
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Chapter 1: Introduction to Geometry Summary Sheet
Undefined Terms
General Terms
point An undefined term thought of as a location with no
intersect To cut or cross.
size or dimension. It is the most basic building block of
bisect To divide into two congruent parts.
geometry. In a two-dimensional coordinate system, a
counterexample An example that shows a conjecture to be incorrect or a
point’s location is represented by an ordered pair of
definition to be inadequate.
numbers (x, y).
adjacent means next to.
line An undefined term thought of as a straight, continuous
adjacent angles Two angles that share a common vertex, share a common
arrangement of infinitely many points extending forever
side and have no common interior points.
in two directions. A line has length, but no width or
consecutive (angles, sides, or vertices of a polygon) Two angles that share
thickness, so it is one-dimensional.
a common side, two sides that share a common vertex, or two vertices
plane An undefined term thought of as a flat surface that
that are the endpoints of one side.
extends infinitely along its edges. A plane has length and
width but no thickness, so it is two-dimensional.
Related Terms
collinear On the same line.
Symmetry
coplanar In the same plane.
symmetry The property that a figure coincides with itself under a
transformation that preserves size and shape.
reflectional symmetry The property that a figure coincides with itself under
a reflection. Also called line symmetry or mirror symmetry.
line of symmetry The line of reflection of a figure having reflectional
symmetry.
bilateral symmetry Reflectional symmetry with only one line of symmetry.
rotational symmetry The property that a figure coincides with itself under
some rotation. If the angle of rotation is 360/n degrees for some positive
integer n, the symmetry is called n-fold rotational symmetry.

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