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    High School Level

    GeometryGlossary

    English / Arabic

    G

    loss

    ar

    Translation of Geometry terms based onthe Coursework for Geometry Grades 9 to12.

    Word-for-word glossaries are used for testingaccommodations for ELL/LEP students

    Last Updated: 08/10/09

    THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

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    THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234

    Education - P-16Office of Elementary, Middle, Secondary, and Continuing Education and Office of Higher Education

    Office of Bilingual Education and Foreign Language Studieshttp://www.emsc.nysed.gov/biling/

    THE UNIVERSITY OF THE STATE OF NEW YORK

    Regents of the University

    MERRYL H.TISCH, Chancellor, B.A., M.A., Ed.D. ....................................................................... New York

    MILTON L.COFIELD,Vice Chancellor, B.S.,M.B.A., Ph.D. ......................................................... Rochester

    ROBERT M.BENNETT,Chancellor Emeritus, B.A., M.S. ............................................................... Tonawanda

    SAUL B.COHEN, B.A., M.A., Ph.D................................................................................................ New Rochelle

    JAMES C.DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................ Plattsburgh

    ANTHONY S.BOTTAR, B.A., J.D. ................................................................................................... Syracuse

    GERALDINE D.CHAPEY, B.A., M.A., Ed.D. ................................................................................. Belle Harbor

    HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ........................................................................................... Hartsdale

    JOSEPH E.BOWMAN,JR., B.A., M.L.S., M.A., M.Ed., Ed.D......................................................... Albany

    JAMES R.TALLON,JR.,B.A., M.A. ............................................................................................... BinghamtonROGER TILLES, B.A.,J.D. ................................................................................................................ Great Neck

    KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................ Brooklyn

    CHARLES R. BENDIT, B.A. ............................................................................................................. Manhattan

    BETTY A.ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D..................................................... Bronx

    LESTER W.YOUNG,JR.,B.S.,M.S.,Ed.D. ..................................................................................... Oakland Gardens

    CHRISTINE D.CEA,B.A.,M.A.,Ph.D. .......................................................................................... Staten Island

    WADE S.NORWOOD,B.A. ............................................................................................................. Rochester

    Interim President of the University and Commissioner of EducationCAROLE F. HUXLEY

    Senior Deputy Commissioner of Education, P16JOHANNA DUNCAN-POITIER

    Associate Commissioner for Curriculum and Instructional SupportJEAN STEVENS

    Coordinator, Office of Bilingual Education and Foreign language StudiesPEDRO J. RUIZ

    Acknowledgements:

    The New York State Education Department Glossaries for English Language Learners were reviewed andupdated during the 2008-2009 school year. We would like to thank in these efforts the New York StateEducation Department Language BETACs (Spanish, Asian and Haitian Bilingual Education TechnicalAssistance Centers), the NYS Office of Curriculum, Instruction and Instructional Technology; the New YorkCity Department of Education Office of English Language Learners, and the NYC Department of EducationTranslation and Interpretation Unit.

    The State Education Department does not discriminate on the basis of age, color, religion, creed, disability, marital status, veteranstatus, national origin, race, gender, genetic predisposition or carrier status, or sexual orientation in its educational programs,services and activities. Portions of this publication can be made available in a variety of formats, including brailed, large print oraudio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Departments Office forDiversity, Ethics, and Access, Room 530, Education Building, Albany, NY 12234.

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    English Arabic

    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

    Geometry

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    English Arabic

    Geometry

    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

    negationparagraph proof

    parallel postulate(s)

    proof

    proof by contradiction

    proportional

    Pythagorean Theorem

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    English Arabic

    Geometry

    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

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    English Arabic

    Geometry

    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

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    Geometry

    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

    betweenessbisector

    center of a circle

    center of a regular polygon

    center of gravity

    central angle

    central angle of a regular polygon

    centroid

    chordcircle

    circumcenter

    circumcircle (about a polygon) ( )

    circumference

    collinear points

    common tangents

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    Geometry

    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

    diagonalsdiameter

    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

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    English Arabic

    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

    inclinationinscribed 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

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    Geometry

    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

    parabolaparallel line segments

    parallel lines

    parallelepiped

    parallelogram

    pentagon

    perimeter

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    Geometry

    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

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    Geometry

    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

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    Geometry

    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

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    Geometry

    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

    reasonreflexive property of equality

    SAS triangle congruence

    SAS Similarity Theorem

    SSS triangle congruence

    substitution property

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    Geometry

    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

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    Geometry

    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 circlecoordinate

    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

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    Geometry

    y - intercept /

    z-axis

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