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Suggested List of Mathematical Language

Geometry

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

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

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