Glossary
High School Level
Geometry
Glossary
English / Urdu
Translation of Geometry terms based on
the Coursework for Geometry Grades 9 to
12.
Word-for-word glossaries are used for testing
accommodations for ELL/LEP students
Last Updated: 08/13/09
THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234
THE STATE EDUCATION DEPARTMENT / THE UNIVERSITY OF THE STATE OF NEW YORK / ALBANY, NY 12234
Education - P-16
Office of Elementary, Middle, Secondary, and Continuing Education and Office of Higher Education
Office of Bilingual Education and Foreign Language Studies
http://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. .......................................................................
MILTON L. COFIELD, Vice Chancellor, B.S., M.B.A., Ph.D. .........................................................
ROBERT M. BENNETT, Chancellor Emeritus, B.A., M.S. ...............................................................
SAUL B. COHEN, B.A., M.A., Ph.D................................................................................................
JAMES C. DAWSON, A.A., B.A., M.S., Ph.D. ................................................................................
ANTHONY S. BOTTAR, B.A., J.D. ...................................................................................................
GERALDINE D. CHAPEY, B.A., M.A., Ed.D. .................................................................................
HARRY PHILLIPS, 3rd, B.A., M.S.F.S. ...........................................................................................
JOSEPH E. BOWMAN, JR., B.A., M.L.S., M.A., M.Ed., Ed.D.........................................................
JAMES R. TALLON, JR., B.A., M.A. ...............................................................................................
ROGER TILLES, B.A., J.D. ................................................................................................................
KAREN BROOKS HOPKINS, B.A., M.F.A........................................................................................
CHARLES R. BENDIT, B.A. .............................................................................................................
BETTY A. ROSA, B.A., M.S. in Ed., M.S. in Ed., M.Ed., Ed.D.....................................................
LESTER W. YOUNG, JR., B.S., M.S., Ed. D. .....................................................................................
CHRISTINE D. CEA, B.A., M.A., Ph.D. ..........................................................................................
WADE S. NORWOOD, B.A. .............................................................................................................
New York
Rochester
Tonawanda
New Rochelle
Plattsburgh
Syracuse
Belle Harbor
Hartsdale
Albany
Binghamton
Great Neck
Brooklyn
Manhattan
Bronx
Oakland Gardens
Staten Island
Rochester
Interim President of the University and Commissioner of Education
CAROLE F. HUXLEY
Senior Deputy Commissioner of Education, P–16
JOHANNA DUNCAN-POITIER
Associate Commissioner for Curriculum and Instructional Support
JEAN STEVENS
Coordinator, Office of Bilingual Education and Foreign language Studies
PEDRO J. RUIZ
Acknowledgements:
The New York State Education Department Glossaries for English Language Learners were reviewed and
updated during the 2008-2009 school year. We would like to thank in these efforts the New York State
Education Department Language BETACs (Spanish, Asian and Haitian Bilingual Education Technical
Assistance Centers), the NYS Office of Curriculum, Instruction and Instructional Technology; the New York
City Department of Education Office of English Language Learners, and the NYC Department of Education
Translation and Interpretation Unit.
The State Education Department does not discriminate on the basis of age, color, religion, creed, disability, marital status, veteran
status, 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 or
audio tape, upon request. Inquiries concerning this policy of nondiscrimination should be directed to the Department’s Office for
Diversity, Ethics, and Access, Room 530, Education Building, Albany, NY 12234.
Geometry
English
Urdu
Problem Solving
ûĻđIJ ĴĊ Ĵùûĕĸ
ĴĄûĹĸ ăĶąĸ AA
AA triangle similarity
ĴĄûĹĸ ăĶąĸ AAA
AAA triangle similarity
ĴĄûĹĂĸ ăĶąĸ AAS
AAS triangle congruence
ĀņĚûč ŁħĹć ŁIJ Ãđý/đý
additive property of equality
HûĤĻ ûIJ ЭĻđIJ ĴĊ G/ŀĔ
algorithm
EпĠ/
apply
ĴĄûĹĂĸ ăĶąĸ ASA
ASA triangle congruence
(ŀК Łļþĸ đŞ GоďĂĔ/ Łù/đİĂĔ/ ŀć ЙĈņĂĻ ΫŅ/)
conjecture
¸:/ďĻ/
ďŅďċā
constraints
ûĻđIJ đņĹħā
construct
ûĻđIJ ĀĬûŅ97
discover
đùK ŎĬŀĔ ÃđŐņĸŀņć ΫĸûļŅ/‫ڈ‬
dynamic geometry software
Įņİċā
explore
ûĻđIJ Đč/ ЙĈņĂĻ ЭĔ ±ŀĵûąĸ ďļŶ &ķņĹħā
generalization
GоďĂĔ/ Łù/đİĂĔ/
inductive reasoning
ûĻđIJ ЙЛņćŀā
justify
Āčûļė ûŅ ĀņĚŀěč ĖùûĹņŞ Ĵýûį
S
ЙćK
parameters
reason
ĀĹņį ĴĚ/
truth value
Ĵņĵ7 đĄöĸ
valid argument
2ŀþĄ 9K/ GоďĂĔ/
Reasoning and Proof
ĴĄûĹĸ ăĶąĸ AA
AA triangle similarity
AAA triangle similarity
ĴĄûĹĸ ăĶąĸ AAA
AAS triangle congruence
ĴĄûĹĂĸ ăĶąĸ AAS
2ŀþĄ ŁāûŅĒĈā
analytical proof
ЙĦŀĝŀĸ GŀĚ/ ŁħĹć ŁāûŅK/:
angle addition postulate
ĴĄûĹĂĸ ăĶąĸ ASA
ASA triangle congruence
ЙĬ9ûħĂĸ ЙúņĶIJ
axiom
ŁĠđė K7
biconditional
ЙĈņĂĻ
conclusion
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Iûņý ?KđĘĸ
conditional statement
conjecture
¸:/ďĻ/
conjunction
I/đĂį/
DпĂč/
contradiction
Āþąĸ ďĝ ŁIJ Iûņý ŁĕIJ
contrapositive of a statement
;ŀijħĸ ûIJ Iûņý ŁĕIJ
converse of a statement
counterexample
Gûąĸ Łý/ŀć
deductive proof
2ŀþĄ Łć/đĎĂĔ/
GоďĂĔ/ Łć/đĎĂĔ/
deductive reasoning
ĉņĝŀā
definition
Gûĭā/đņĩ
disjunction
đùK ŎĬŀĔ ÃđŐņĸŀņć ΫĸûļŅ/‫ڈ‬
dynamic geometry software
ĮĶħā ûIJ Ãđý/đý
equivalence relation
ЙĦŀĝŀĸ GŀĚ/ Ã:/ŀĂĸ ŁĔďņĶį/
Euclidean Parallel Postulate
ĀĊûĝK
explain
ÃđŐņĸŀņć
geometry
ĴĄûĹĂĸ Iŀijā ĥĶĝ 9K/ đāK
hypotenuse and leg triangle congruence
ЙĝKđĭĸ
hypothesis
2ŀþĄ ЙġĔ/ŀĶý
indirect proof
GоďĂĔ/ Łù/đİĂĔ/
inductive reasoning
;ŀijħĸ ûIJ Iûņý ŁĕIJ
inverse of a statement
investigate
ûĻđIJ Įņİċā
justify
ûĻđIJ ЙЛņćŀā
2/Kûĕĸ Łİġļĸ
logical equivalent
ŁĭĻ
negation
2ŀþĄ D/đμ/đņŞ
paragraph proof
ЙĦŀĝŀĸ GŀĚ/ Ã:/ŀĂĸ
parallel postulate(s)
2ŀþĄ
proof
DпĂč/ ЙħŅ9Đý 2ŀþĄ
proof by contradiction
üĔûļĂĸ
proportional
ЙĶúĕĸ ŁĄ9ŀĩ ûąņĬ
Pythagorean Theorem
ЙćK
reason
ĀņĚûč ŁĔŀijħĸ ŁIJ 2/Kûĕĸ
reflexive property of equality
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ĴĄûĹĂĸ ăĶąĸ SAS
SAS triangle congruence
ЙĶúĕĸ ûIJ ĀņĻûĕijŅ SAS
SAS Similarity Theorem
ĴĄûĹĂĸ ăĶąĸ SSS
SSS triangle congruence
ĀņĚûč G7ûþĂĸ
substitution property
subtraction property of equality
ĀņĚûč ĮŅđĭā ŁIJ 2/Kûĕĸ
symmetric property of equality
ĀņĚûč üĔûļā ŁIJ 2/Kûĕĸ
ЙĶúĕĸ
theorem
2ŀþĄ ŁĶŅŀċā
transformational proof
ĀņĚûč đŅĐŞ đņĪā ŁIJ 2/Kûĕĸ
transitive property of equality
ĀĹņį EďĚ
truth value
two-column proof
Ĵņĵ7 ŁĹĵûįK7
undefined terms
Hđŏ ĺņħĸ đņĩ
Gûěā/ ûIJ ±ŀĦŀĹĈĸ
union of sets
Ĵņĵ7 đĄöĸ
valid argument
Gûěā/
Communication
ЙĹĶIJ ĥĸûć &ЙĹĶĕĸ
axiom
ŁĠđėK7
biconditional
Iûņý üIJđĸ
compound statement
ЙĈņĂĻ
conclusion
Iûņý ?KđĘĸ
conditional statement
conjecture
¸:/ďĻ/
conjunction
I/đĂį/
Āþąĸ ďĝ ŁIJ Iûņý ŁĕIJ
contrapositive of a statement
;ŀijħĸ ûIJ Iûņý ŁĕIJ
converse of a statement
ĉņĝŀā
definition
Gûĭā/đņĩ
disjunction
ĉŅđĘā
explain
ЙĝKđĭĸ
hypothesis
;ŀijħĸ ûIJ Iûņý ŁĕIJ
inverse of a statement
ûĻđIJ ЙЛņćŀā
justify
negation
ŁĭĻ
theorem
ЙĶúĕĸ
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ĀĹņį EďĚ
truth value
Hđŏ ĺņħĸ đņĩ
undefined terms
Эġý/9
Connections
EпĠ/
apply
compound locus
ĮŅđĠ üIJđĸ
discover
ûĻđIJ ĀĬûŅ97
ЙĦŀĹĈĸ ĥĠûİā
intersection of sets
ûĻđIJ Įņİċā
investigate
2ûİĶħā ŁĻûijĸ
spatial relationships
Gûěā/ ûIJ ±ŀĦŀĹĈĸ
union of sets
ŁμďļùûĹĻ
Representation
analytical geometry
ÃđŐņĸŀņć ŁāûŅĒĈā
coordinate geometry
ÃđŐņĸŀņć Ã7ďċĸ
ĉņĝŀā
definition
ÃđŐņĸŀņć ŁĔďņĶį/
Euclidean geometry
ĴĦûĭā
function
ŁμďļùûĹĻ ŁùûņĬ/đĪć
graphical representation
locus of points
đIJ /9ŀŞ ŀIJ ?đė =ûč ΫŅ/ ŀć ЙĦŀĹĈĸ ûIJ ±ŀĂijĻ
2/Kûĕĸ Łİġļĸ
logical equivalence
non-Euclidean geometry
ÃđŐņĸŀņć ŁĔďņĶį/ đņĩ
three dimensional space
Йνć ŁĂŅďħý ĺņā
ÃđŐņĸŀņć ŁĶŅŀċā
transformational geometry
Йνć ŁĂŅďħý K7
two dimensional space
ĮĶħā ŁĔďņĶį/
Geometric Relationships
ĴĄûĹĸ ăĶąĸ AA
AA triangle similarity
ĴĄûĹĸ ăĶąĸ AAA
AAA triangle similarity
AAS triangle congruence
ĴĄûĹĂĸ ăĶąĸ AAS
ASA triangle congruence
ĴĄûĹĂĸ ăĶąĸ ASA
ĀĹņį ĮĶġĸ
absolute value
ЙŅK/: ¸7ûĊ
acute angle
ăĶąĸ ЙŅK/Ēĵ/ º7ûĊ
acute triangle
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ЭŅK/: ĴěĂĸ
adjacent angles
algebraic representation
ŁμďļùûĹĻ Łù/đþĈĵ/
alternate interior angles
ЭŅK/: ŁĻK9ďĻ/ G7ûþĂĸ
Aûĭā9/
altitude
ÃđŐņĸŀņć ŁāûŅĒĈā
analytical geometry
ЙŅK/:
angle
angle bisector
īĚûĻ ŁāûŅK/:
angle measure
9/ďİĸ ŁāûŅK/:
arc
đĪĚ/ ;/79
S
;ŀį
arc measure
9/ďİĸ ;ŀį
apothem
Йþį9
area
9ŀċĸ ЭIJ üĔûļā
axis of symmetry
¸ďĦûį
base
ĀņĻûņĸ97
betweeness
о/K ЭĻđIJ ĥġį Ўņĸ ±ŀěĊ K7
bisector
ûĹĻĒIJđĸ ûIJ ¸đù/7
center of a circle
ûĹĻĒIJđĸ ûIJ AпĞĵ/ đņąIJ ¸ďĦûįûý
center of a regular polygon
ĒIJđĸ ûIJ ĴİĄ ĖĘIJ
S
ЙŅK/: ÃĒIJđĸ
center of gravity
central angle
ЙŅK/: ÃĒIJđĸ ûIJ AпĞĵ/ đņąIJ ¸ďĦûįûý
central angle of a regular polygon
ûĹĻĒIJđĸ
centroid
chord
đāK ûIJ ¸đù/7
circle
¸đù/7
¸đĚûċĸ
circumcenter
circumcircle (about a polygon)
ŀК ûāŀĿŶ ŀIJ ±ŀĻŀIJ HûĹā ЭIJ AпĞĵ/đņąIJ ŀć) ¸đù/7
ğņċĸ
circumference
2ûijĻ Łġč ķК
collinear points
;ûĹĸ ‫ک‬đĂĘĸ
common tangents
ЭŅK/: ķĹĂĸ
complementary angles
concave polygon
AпĞĵ/đņąIJ 9/7 0/đċĸ
concentric circles
Éđù/7 ĒIJđĸ ķК
?ŀġč K: ķК
concurrent lines
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?KđĎĸ
cone
ĴĄûĹā
congruence
</đā ŁĠKđĎĸ
conic sections
ĴİĂĕĸ ûIJ đņĪā
constant of proportionality
AпĞĵ/ đņąIJ 0ďċĸ
convex polygon
ÃđŐņĸŀņć Ã7ďċĸ
coordinate geometry
ÃŀĂĕĸ ķК
coplanar
corresponding angles
ЭŅK/: ¸đģûļĂĸ
corresponding parts
ЭěĊ ¸đģûļĂĸ
corresponding sides
D/đĠ/ ¸đģûļĂĸ
ЙěĊ īĵûĎĸ
crossection
üħijĸ
cube
ĺĶņý ËЙĻ/ŀġĔ
cylinder
definition
ĀĊûĝK
diagonals
đāK
diameter
đġį
ЙŅK/: о/K Эļļý ЭĔ ±ŀħĶĝ ĉġĕĸ K7
dihedral angle
ЙĶĚûĬ
distance
distance between a point and a line
ЙĶĚûĬ Iûņĸ97 ЭIJ ğč 9K/ ЭĂijĻ
distance between two parallel lines
ЙĶĚûĬ Iûņĸ97 ЭIJ ?ŀġč Ã:/ŀĂĸ K7
ЙĶĚûĬ Iûņĸ97 ЭIJ ±ŀĂijĻ K7
distance between two points
ķĕć ;ŀĿŏ ŁħĶĝ ¸9ûý
dodecahedron
Ĵijė ÃŀĞņý
ellipse
Ēć Ãđč*
endpoint
equiangular
ЙŅK/Ēĵ/ ÃKûĕĂĸ
equidistant
ЙĶĚûĬ ÃKûĕĂĸ
equilateral triangle
ăĶąĸ Aпĝо/ ÃKûĕĂĸ
equilateral polygon
Aпĝо/đņąIJ Aпĝо/ ÃKûĕĂĸ
ÃđŐņĸŀņć ŁĔďņĶį/
Euclidean Geometry
ЙĦŀĝŀĸ GŀĚ/ Ã:/ŀĂĸ ŁĔďņĶį/
Euclidean Parallel Postulate
ŁĻKđņý
exterior
ЙŅK/: ŁĻKđņý
exterior angle
/Ǽijŏ ûIJ ĥĠûį ЙġİĻ ŁĻKđņý
external secant segment
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69 ûIJ Aпĝо/đņąIJ
face of a polyhedron
ŁùûþĹĵ ŁIJ Aûĭā9/
foot of an altitude
ĴĦûĭā
function
ğĔK/ ‫ک‬đŐņĸŀņć
geometric mean
ÃǼņĸŀņć
geometry
5đė IŻĵŀμ
golden ratio
ĴņġĂĕĸ IŻĵŀμ
golden rectangle
¸đù/7 ķņĤĦ
R
¸đIJ īěĻ
great circle
hemisphere
Йĵŀĸ9ûĬ ûIJ IđņК
Heron's formula
ŁħĶĝ Ėė
hexagon
hypotenuse
đāK
icosahedron
ŁċġĔđņąIJ Łĵ/K ±ŀč9 ēņý
ĒIJđĸ ŁĻK9ďĻ/ ûIJ Aпĝо/đņąIJ
incenter of a polygon
,ûijĿć
inclination
inscribed angle
ЙŅK/: ŁĕŅŀĻ97
inscribed circle
¸đù/7 ŁĕŅŀĻ97
intercepted arc
;ŀį ĥġİļĸ
ğč ûIJ Iûņĸ97 ЭIJ ±ŀġİĻ ĥĠûİĂĸ K7
intercepts
ŁĻK9ďĻ/
interior
?ŀġč đŅĐŞ ĥĠûİā
intersecting lines
ûĹĻ ЙİĻ8K8 ĺņįûĕĵ/ ÃKûĕĸ
isosceles trapezoid
ăĶąĸ ĺņįûĕĵ/ ÃKûĕĸ
isosceles triangle
GKŻĔ ķņĻ
kite
Йþį9 ŁþĻûć ûIJ 9ŀĘļĸ
lateral area of a prism
¸9ûļIJ ŁþĻûć
lateral edge
69 ŁþĻûć
lateral face
ĉġĔ ŁþĻûć
lateral surface
ЭŅK/: ЭIJ ăĶąĸ ЙŅK/: ¸ďĦûį
legs of a right triangle
ЭŅK/: ЭIJ ûĹĻ ЙİĻ8K8 ĺņįûĕĵ/ ÃKûĕĸ
legs of an isosceles trapezoid
ŁùûþĹĵ
length
ğč
line
Йħġį Łġč
line segment
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/‫ڑ‬ŀć Łć97 ΫŅ
linear pair
locus of points
đIJ /9ŀŞ ŀIJ ?đė =ûč ΫŅ/ ŀć ЙĦŀĹĈĸ ûIJ ±ŀĂijĻ
;ŀį ÃǼý
major arc
üĔûļā ğĔK/
mean proportional
measure of an angle
ĖùûĹņŞ ŁIJ ЙŅK/:
measure of an arc
ĖùûĹņŞ ŁIJ ;ŀį
ğĔK ûIJ ĺņįûĕĵ/ ÃKûĕĸ
median of a trapezoid
ğĔK ûIJ ăĶąĸ
median of a triangle
midpoint
ЙġİĻ ŁġĔK
midsegment
Йħġį ŁġĔK
minor arc
;ŀį đņĪĚ
n-gon
ŁħĶĝ ËĺŅ/
non-collinear
Łħġč ķК đņĩ
non-coplanar
ÃŀĂĕĸ ķК đņĩ
ÃđŐņĸŀņć ŁĔďņĶIJ/đņĩ
non-Euclidean geometry
ЙŅK/: Йćđĭļĸ
obtuse angle
ăĶąĸ Йćđĭļĸ
obtuse triangle
о/K ±ŀŅK/: Дŏ* / ĺĹąĸ
octagon
octahedron
AпĞĵ/ ÃKûĕĸ
opposite rays
ЎņĦûħė 7ûĞĂĸ
ĒIJđĸ Ã7ŀĹĦ
orthocenter
orthogonal
Ã7ŀĹĦ
parabola
ŁĬûijĸ
2ûħġį ğč Ã:/ŀĂĸ
parallel line segments
?ŀġč Ã:/ŀĂĸ
parallel lines
parallelepiped
ĉġĔ Ã:/ŀĂĸ
parallelogram
Aпĝо/ Ã:/ŀĂĸ
pentagon
ŁħĶĝ ĆļŞ
perimeter
ЙĠûĊ/
īĚûĻ Ã7ŀĹĦ
perpendicular bisector
K: ķК īĚûĻ Ã7ŀĹĦ
perpendicular bisector concurrence
perpendicular lines
?ŀġč Ã7ŀĹĦ
perpendicular planes
5ŀġĔ Ã7ŀĹĦ
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pi
ŁùûŞ
plane
ĉġĔ
point
ЙġİĻ
point of concurrency
ЙġİĻ ÃK: ķК
point of tangency
ЙġİĻ ŁĔûĹĸ
polygon
AпĞĵ/đņąIJ
polyhedron
ŁċġĔđņąIJ
9ŀĘļĸ
prism
ĀņĚûč 0đĝ ĴĚûĊ ŁIJ üĔûļā
product property of proportions
üĔûļĂĸ
proportional
H/đК/ ûŅ ?KđĎĸ
W
39ŀĩûąņĬ ЙĶĕĸ
pyramid
Pythagorean Theorem
ĥý9
quadrant
quadratic equation
2/Kûĕĸ Łħýđĸ
quadratic formula
Йĵŀĸ9ûĬ Łħýđĸ
quadrilateral
ŁħĶĝ 9ûŶ
radius
đġį īěĻ
ratio
ĀþĕĻ
ray
Aûħė
7/ďĦ/ ŁİņİĊ
real numbers
ĴņġĂĕĸ
rectangle
;ŀĿŏ ĴņġĂĕĸ
rectangular solid
regular polygon
AпĞĵ/đņąIJ ¸ďĦûįûý
remote interior angles
ЭŅK/: ŁĻK9ďĻ/ ĴěĬ
ĺņħĸ
rhombus
ЙŅK/Ēĵ/ ЙĂĹùûį
right angle
ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį
right triangle
ăĶąĸ ŁħĶĝ īĶĂĎĸ
scalene triangle
ĥĠûį ğč
secant
Йħġį
segment
Йħġį ûIJ ¸đù/7
segment of a circle
¸đù/7 ķņĻ
semicircle
ЙĦŀĹĈĸ
set
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similar polygons
Aпĝо/đņąIJ ĴĄûĹĸ
similar triangles
ăĶąĸ ĴĄûĹĸ
ŁħĶĝ 9ûŶ ¸7ûĔ
simple quadrilateral
skew lines
?ŀġč ¸ďņĹč
slant height
ŁùûþĹĵ ŁĿŶđā
sphere
Iпľ‫ڈ‬
R
¸đIJ
square
ĥýđĸ
slope
supplementary angles
ЭŅK/: ŁĹĂā
surface area
Йþį9 ŁċġĔ
Йħġį ŁĔûĹĸ
tangent segment
;ûĹĸ ûIJ ¸đù/7
tangent to a circle
tessellation
Ã9ûIJ ŁŷŞ
tetrahedron
ŁċġĔ9ûŶ
Йνć Ã7ûħý/ ЙĔ
three-dimensional space
2ûņĸûİĸ / ŁćŀĵŀŞŀŏ
topology
ÃđŐņĸŀņć ŁĂņК*
transformational geometry
transversal
ĥĠûį ğč
trapezoid
ûĹĻ ЙİĻ8K8
ăĶąĸ
triangle
I:/ŀā HďĦ ăĶąĸ
triangle inequality
2пąĶąĸ ķĶĦ ûIJ ăĶąĸ ЙŅK/Ēĵ/ ЙĂĹùûį
trigonometry of the right triangle
Йνć Ã7ûħý/ K7
two-dimensional space
vector
ЙņĂĹĔ
vertex
;/đĵ/ ĀĹĔ
vertical angles
ЭŅK/: Ã7ŀĹĦ
vertical line
?ŀġč Ã7ŀĹĦ
ķĈĊ
volume
x-axis
9ŀċĸ ēijŅ/
x-intercept
ĥġİļĸ ēijŅ/
y-axis
9ŀċĸ Łù/K
y-intercept
ĥġİļĸ Łù/K
9ŀċĸ Ã:
z-axis
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Constructions
2/đņĹħā
īĚûĻ ŁāûŅK/:
angle bisector
īĚûĻ
bisector
ĒIJđĸ ûIJ AпĞĵ/đņąIJ ¸ďĦûįûý
center of a regular polygon
center of gravity
circumcircle (about a polygon)
ĒIJđĸ ûIJ ĴİĄ ĖĘIJ
S
ŀК ûāŀĿŶ ŀIJ ±ŀĻŀIJ HûĹā ЭIJ AпĞĵ/đņąIJ ŀć) ¸đù/7
compass
9ûIJđŞ
construct
ûĻđIJ đņĹħā
đùK ŎĬŀĔ ÃđŐņĸŀņć ΫĹļù/‫ڈ‬
dynamic geometry software
īĚûĻ Ã7ŀĹĦ
perpendicular bisector
K: ķК īĚûĻ Ã7ŀĹĦ
perpendicular bisector concurrence
?ŀġč Ã7ŀĹĦ
perpendicular lines
/đĔ ûľďņĔ
straightedge
ĮŅđĠ
Locus
¸đù/7
circle
ĮŅđĠ üIJđĸ
compound locus
Ĵijė ÃŀĞņý
ellipse
ďù/: ĥġį
hyperbola
ĮŅđĠ ûIJ ±ŀġİĻ
locus of points
ŁĬûijĸ
parabola
2ŀþĄ ŁĹĔ9đņĩ 9K/ ŁĹĔ9
Formal and Informal Proofs
ĴĄûĹĸ ăĶąĸ AA
AA triangle similarity
ĴĄûĹĸ ăĶąĸ AAA
AAA triangle similarity
AAS triangle congruence
ĴĄûĹĂĸ ăĶąĸ AAS
ASA triangle congruence
ĴĄûĹĂĸ ăĶąĸ ASA
ЙĦŀĝŀĸ GŀĚ/ ŁħĹć ŁāûŅK/:
angle addition postulate
ЙĹĶIJ ĥĸûć &ЙĹĶĕĸ
axiom
ŁĠđė K7
biconditional
ЙĈņĂĻ
conclusion
Iûņý ?KđĘĸ
conditional statement
¸:/ďĻ/
conjecture
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I/đĂį/
conjunction
DпĂč/
contradiction
Āþąĸ ďĝ ŁIJ Iûņý ŁĕIJ
contrapositive of a statement
;ŀijħĸ ûIJ Iûņý ŁĕIJ
converse of a statement
Gûąĸ Łý/ŀć
counterexample
GоďĂĔ/ Łć/đĎĂĔ/
deductive reasoning
ĉņĝŀā
definition
Gûĭā/đņĩ
disjunction
đùK ŎĬŀĔ ÃđŐņĸŀņć ΫĹļù/‫ڈ‬
dynamic geometry software
ĮĶħā ûIJ Ãđý/đý
equivalence relation
ЙĦŀĝŀĸ GŀĚ/ Ã:/ŀĂĸ ŁĔďņĶį/
Euclidean Parallel Postulate
ĴĄûĹĂĸ Iŀijā ĥĶĝ 9K/ đāK
hypotenuse and leg triangle congruence
2ŀþĄ ЙġĔ/ŀĶý
indirect proof
GоďĂĔ/ Łù/đİĂĔ/
inductive reasoning
;ŀijħĸ ûIJ Iûņý ŁĕIJ
inverse of a statement
ûĻđIJ ЙЛņćŀā
justify
2/Kûĕĸ Łİġļĸ
logical equivalent
ŁĭĻ
negation
ЙĦŀĝŀĸ GŀĚ/ Ã:/ŀĂĸ
parallel postulate(s)
ЙĦŀĝŀĸ GŀĚ/
postulate
2ŀþĄ
proof
DпĂč/ ЙħŅ9Đý 2ŀþĄ
W
39ŀĩ ûąņĬ ЙĶĕĸ
proof by contradiction
Pythagorean Theorem
ЙćK
reason
ĀņĚûč ŁĔŀijħĸ ŁIJ 2/Kûĕĸ
reflexive property of equality
ĴĄûĹĂĸ ăĶąĸ SAS
SAS triangle congruence
ЙĶúĕĸ ûIJ ĀņĻûĕijŅ SAS
SAS Similarity Theorem
ĴĄûĹĂĸ ăĶąĸ SSS
SSS triangle congruence
ĀņĚûč G7ûþĂĸ
substitution property
subtraction property of equality
ĀņĚûč ĮŅđĭā ŁIJ 2/Kûĕĸ
symmetric property of equality
ĀņĚûč üĔûļā ŁIJ 2/Kûĕĸ
ЙĶúĕĸ
theorem
2ŀþĄ ŁĶŅŀċā
transitive property of equality
ĀņĚûč đŅĐŞ đņĪā ŁIJ 2/Kûĕĸ
transformational proof
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ĀĹņį EďĚ
truth value
two-column proof
Ĵņĵ7 ŁĹĵûįK7
undefined terms
Hđŏ ĺņħĸ đņĩ
Gûěā/ ûIJ ±ŀĦŀĹĈĸ
union of sets
Ĵņĵ7 đĄöĸ
valid argument
ÃđŐņĸŀņć ŁĂņК*
Transformational Geometry
9ŀċĸ ЭIJ üĔûļā
axis of symmetry
center of a dilation
ĒIJđĸ ûIJ ,пņĿŞ
center of a rotation
ĒIJđĸ ûIJ <7đμ
(Łįđė) ĀĹĔ ŁIJ ŁùŀĔ ŁIJ ÃǼĿμ
clockwise (orientation)
üņIJđā / ûĻđIJ üIJđĸ
composition
ĴİĂĕĸ ûIJ üĔûļā
constant of proportionality
9ûěĂč/
contraction
(Łįđė) ĀĹĔ īĵûĎĸ ŁIJ ŁùŀĔ ŁIJ ÃǼĿμ
counterclockwise (orientation)
,пņĿŞ
dilation
ŁĶŅďþā ĀĔ/9
direct transformation
đĄ/ ¹İĶĊ
domain
đùK ŎĬŀĔ ÃđŐņĸŀņć ΫĹļù/‫ڈ‬
dynamic geometry software
ЙġİĻ ¸9đİĸ
fixed point
ĴĦûĭā
function
ķņįđā ĴĦûĭā Эņĵ ЭIJ ŁĶŅďþā
function notation for transformations
ēijĦ 9ûĂĬ9 ΫþĔ
glide reflection
¸Kđμ
group
đijŶ ûľ7*
half-turn
Āİýûġĸ
identity
đŅŀěā &Ĵijė &ЙЛņþė
image
ĴŅŀċā ;ŀijħĸ
inverse of a transformation
ĀĊûĕĸ ķК
isometry
(ĴĦûĭā) Ãďļý ĖİĻ
mapping (function)
ŁĶŅďþā 7ûĞĂĸ
opposite transformation
Łįđė
orientation
preimage
ЙЛņþė ĮýûĔ
reflection
ēijĦ
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Geometry
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<7đμ
rotation
ĴIJûĘā <7đμ
rotational symmetry
ĴIJûĘā
symmetry
Ã9ûIJ ŁŷŞ
tessellation
ŁĶŅďþā
transformation
ÃđŐņĸŀņć ŁĂņК*
transformational geometry
GûİĂĻ/ &ŁĶŅďþā
translation
ÃđŐņĸŀņć Ã7Kďċĸ
Coordinate Geometry
ЙĶěĬ
abscissa
ÃđŐņĸŀņć ŁāûŅĒĈā
analytical geometry
2ŀþĄ ŁāûŅĒĈā
analytical proof
Ã7Kďċĸ Łĕņā9ûIJ
Cartesian coordinates
ÃŀĂĕĸ Ã7Kďċĸ Łĕņā9ûIJ
Cartesian plane
2/Kûĕĸ đġį īěĻ ÃĒIJđĸ ŁIJ ¸đù/7
center-radius equation of circle
Ã7Kďċĸ
coordinate
ÃđŐņĸŀņć Ã7Kďċĸ
coordinate geometry
ÃŀĂĕĸ Ã7Kďċĸ
coordinate plane
ЙĶĚûĬ Iûņĸ97 ЭIJ ±ŀġİĻ K7
distance between two points
+ďĂý/
origin
2/Kûĕĸ ŁIJ ЙġİĻ Ã7ŀĹĦ ЭIJ ğč
point slope equation of a line
2ûŅ7Kďċĸ ŁĶņġĂĕĸ
rectangular coordinates
2/Kûĕĸ ŁIJ ĥġİļĸ I/ŀĶľ‫ ڈ‬ŁIJ ğč ŁĕIJ
slope - intercept equation of a line
three-dimensional space
Йνć Ã7ûħý/ ЙĔ
two-dimensional space
Йνć Ã7ûħý/ K7
vector
ЙņĂĹĔ
x-axis
9ŀċĸ ēijŅ/
x-intercept
ĥġİļĸ ēijŅ/
y-axis
9ŀċĸ Łù/K
y - intercept
ĥġİļĸ Łù/K
9ŀċĸ Ã:
z-axis
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