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Geometry Exam!!!!!! Ahhhhhh!!!!!!!!

Study!!!!!!!!!!!!!

Terms

undefined, object
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line
a straight arrangement of infinately many points, 1-dimensional
3 sides
triangle
points, lines, and planes
the three basic building blocks in geometry
equilateral polygons
all sides have equal length
deductive reasoning
the process of showing that certain statements follow logically from agreed-upon assumptions and proven facts`
tangent
a line that intersects a circle in exactly one point
regular polygons
a polygon that is both equilateral and equiangular
135 degrees
one angle of a regular octagon measures
equiangular polygons
all angles have equal measure
4 sides
quadrilateral
line segment
two points and all the points between them that are on the line containing them
6 sides
hexagon
plane
flat surface that extends infinately, 2-dimensional
7 sides
heptagon
10 sides
decagon
parallel
the midsegment of a trapezoid is ________ to the bases
8 sides
octagon
point
has no size, only location and its 0-dimensional
chord
a line segment whose endpoints lie on a circle
endpoints
the points at the end of a line segment or arc
kite
one pair of opposite congruent angles, one diagonal bisects it, its diagonals are perpendicular, and it has exactly one side of symmetry
diagonal
a line segment connecting non-consecutive vertices in a polygon
isosceles trapezoid
one opposite side is parallel, one pair of opposite congruent angles, its base angles are congruent, its consecutive are supplementary, its diagonals are congruent, and it has exactly one line of symmetry
"skew" lines
lines not on the same plane that do not intersect and are not parallel
rhombus
both opposite sides are parallel, both opposite sides and angles are congruent, its consecutive angles are supplementary, its diagonals bisect each other and are perpendicular, and it has exactly two lines of symmetry
n
n-gon
pair of vertical angles
angles formed by two intersecting lines
average
the length of a midsegment of a trapezoid is the _______ of the lengths of the bases
4 congruent triangles
the three midsegments of a triangle divide the triangle into
11 sides
undecagon
ray
all the points on a line that lie on one side of a specified point
geometric construction
uses a compass and a straighedge
9 sides
nonagon
12 sides
dodecagon
square
both opposite sides are parallel, both opposite sides and angles are congruent, consecutive angles are supplementary, its diagonals bisect each other, are perpendicular, and are congruent, it has exactly four lines of symetry
congruent
lines are all _________ if they all intersect at one point
half
the length of a midsegment between two sides of a triangle is ____ the length of the third side
diameter
largest chord in a circle
5 sides
pentagon
vertex angle
angle between two sides of equal length
inductive reasoning
the process of observing data, recognizing patterns, and making generalizations about those patterns
conjecture
the generalization you make when you use inductive reasoning
triangles are congruent
if two angles and a non-included side of one triangle are congruent to two angles and a non-included side of another triangle
median
a line segment with endpoints at the vertex and at the midpoint of the opposite side
rectangle
an equiangular quadrilateral is usually called a...
CPCTC
corresponding parts of congruent triangles are congruent
1440 degrees
the sum of the measure of the interior angles of a decagon
centroid
center of gravity of a triangle
rectangle
both opposite sides are parallel, both opposite sides and angles are congruent, consecutive angles are supplementary, its diagonals bisect each other, its diagonals are congruent, and it has exactly two lines of symmetry
parallelogram
both opposite sides are parallel, both opposite sides are congruent, both opposite angles are congruent, its consecutive angles are supplementary, its diagonals bisect each other, and it has no line of symmetry
linear pair of angles
two angles that share a vertex and a common side and their non-common sides form a line

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