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Problem Solving
AA triangle similarity
AAA triangle similarity
AAS triangle congruence
additive property of equality
algorithm
apply
ASA triangle congruence
conjecture
constraints
construct
discover
dynamic geometry software
explore
generalization
inductive reasoning
justify
parameters
reason
truth value
valid argument
Reasoning and Proof
AA triangle similarity
AAA triangle similarity
AAS triangle congruence
analytical proof
angle addition postulate
ASA triangle congruence
axiom
biconditional
conclusion
conditional statement
conjecture
conjunction
contradiction
contrapositive of a statement
converse of a statement
counterexample
deductive proof
deductive reasoning
definition
disjunction
dynamic geometry software
equivalence relation
Euclidean Parallel Postulate
explain
geometry
hypotenuse and leg triangle congruence
hypothesis
indirect proof
inductive reasoning
inverse of a statement
investigate
justify
logical equivalent
negation
paragraph proof
parallel postulate(s)
proof
proof by contradiction
proportional
Pythagorean Theorem
reason
reflexive property of equality
SAS triangle congruence
SAS Similarity Theorem
SSS triangle congruence
substitution property
subtraction property of equality
symmetric property of equality
theorem
transformational proof
transitive property of equality
truth value
two-column proof
undefined terms
union of sets
valid argument
Communication
axiom
biconditional
compound statement
conclusion
conditional statement
conjecture
conjunction
contrapositive of a statement
converse of a statement
definition
disjunction
explain
hypothesis
inverse of a statement
justify
negation
theorem
truth value
undefined terms
Connections
apply
compound locus
discover
intersection of sets
investigate
spatial relationships
union of sets
Representation
analytical geometry
coordinate geometry
definition
Euclidean geometry
function
graphical representation
locus of points
logical equivalence
non-Euclidean geometry
three dimensional space
transformational geometry
two dimensional space
Geometric Relationships
AA triangle similarity
AAA triangle similarity
AAS triangle congruence
ASA triangle congruence
absolute value
acute angle
acute triangle
adjacent angles
algebraic representation
alternate interior angles
altitude
analytical geometry
angle
angle bisector
angle measure
apothem
arc
arc measure
area
axis of symmetry
base
betweeness
bisector
center of a circle
center of a regular polygon
center of gravity |
Geometric Relationships (cont.)
central angle
central angle of a regular polygon
centroid
chord
circle
circumcenter
circumcircle (about a polygon)
circumference
collinear points
common tangents
complementary angles
concave polygon
concentric circles
concurrent lines
cone
congruence
conic sections
constant of proportionality
convex polygon
coordinate geometry
coplanar
corresponding angles
corresponding parts
corresponding sides
crossection
cube
cylinder
definition
diagonals
diameter
dihedral angle
distance
distance between a point and a line
distance between two parallel lines
distance between two points
dodecahedron
ellipse
endpoint
equiangular
equidistant
equilateral triangle
equilateral polygon
Euclidean Geometry
Euclidean Parallel Postulate
exterior
exterior angle
external secant segment
face of a polyhedron
foot of an altitude
function
geometric mean
geometry
golden ratio
golden rectangle
great circle
hemisphere
Heron's formula
hexagon
hypotenuse
icosahedron
incenter of a polygon
inclination
inscribed angle
inscribed circle
intercepted arc
intercepts
interior
intersecting lines
isosceles trapezoid
isosceles triangle
kite
lateral area of a prism
lateral edge
lateral face
lateral surface
legs of a right triangle
legs of an isosceles trapezoid
length
line
line segment
linear pair
locus of points
major arc
mean proportional
measure of an angle
measure of an arc
median of a trapezoid
median of a triangle
midpoint
midsegment
minor arc
n-gon
non-collinear
non-coplanar
non-Euclidean geometry
obtuse angle
obtuse triangle
octagon
octahedron
opposite rays
orthocenter
orthogonal
parabola
parallel line segments
parallel lines
parallelepiped
parallelogram
pentagon
perimeter
perpendicular bisector
perpendicular bisector concurrence
perpendicular lines
perpendicular planes
pi
plane
point
point of concurrency
point of tangency
polygon
polyhedron
prism
product property of proportions
proportional
pyramid
Pythagorean Theorem
quadrant
quadratic equation
quadratic formula
quadrilateral
radius
ratio
ray
real numbers
rectangle
rectangular solid
regular polygon
remote interior angles
rhombus
right angle
right triangle
scalene triangle
secant
segment
segment of a circle
semicircle
set
similar polygons
similar triangles
simple quadrilateral
skew lines
slant height
slope
sphere
square
supplementary angles
surface area
tangent segment
tangent to a circle
tessellation
tetrahedron
three-dimensional space |
Geometric Relationships (cont.)
topology
transformational geometry
transversal
trapezoid
triangle
triangle inequality
trigonometry of the right triangle
two-dimensional space
vector
vertex
vertical angles
vertical line
volume
x-axis
x-intercept
y-axis
y-intercept
z-axis
Constructions
angle bisector
bisector
center of a regular polygon
center of gravity
circumcircle (about a polygon)
compass
construct
dynamic geometry software
perpendicular bisector
perpendicular bisector concurrence
perpendicular lines
straightedge
Locus
circle
compound locus
ellipse
hyperbola
locus of points
parabola
Formal and Informal Proofs
AA triangle similarity
AAA triangle similarity
AAS triangle congruence
ASA triangle congruence
angle addition postulate
axiom
biconditional
conclusion
conditional statement
conjecture
conjunction
contradiction
contrapositive of a statement
converse of a statement
counterexample
deductive reasoning
definition
disjunction
dynamic geometry software
equivalence relation
Euclidean Parallel Postulate
hypotenuse and leg triangle congruence
indirect proof
inductive reasoning
inverse of a statement
justify
logical equivalent
negation
parallel postulate(s)
postulate
proof
proof by contradiction
Pythagorean Theorem
reason
reflexive property of equality
SAS triangle congruence
SAS Similarity Theorem
SSS triangle congruence
substitution property
subtraction property of equality
symmetric property of equality
theorem
transitive property of equality
transformational proof
truth value
two-column proof
undefined terms
union of sets
valid argument
Transformational Geometry
axis of symmetry
center of a dilation
center of a rotation
clockwise (orientation)
composition
constant of proportionality
contraction
counterclockwise (orientation)
dilation
direct transformation
domain
dynamic geometry software
fixed point
function
function notation for transformations
glide reflection
group
half-turn
identity
image
inverse of a transformation
isometry
mapping (function)
opposite transformation
orientation
preimage
reflection
rotation
rotational symmetry
symmetry
tessellation
transformation
transformational geometry
translation
Coordinate Geometry
abscissa
analytical geometry
analytical proof
Cartesian coordinates
Cartesian plane
center-radius equation of circle
coordinate
coordinate geometry
coordinate plane
distance between two points
origin
point slope equation of a line
rectangular coordinates
slope - intercept equation of a line
three-dimensional space
two-dimensional space
vector
x-axis
x-intercept
y-axis
y - intercept
z-axis
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