Geometry / Āhuahanga

acute angle Noun

koki tāhapa (takenga mai: koki – angle; tāhapa – at an acute angle) (kupu kē atu: koki koi)

acute-angled triangle Noun

tapatoru koki tāhapa

adjacent Adjective, Adverb

pātata

adjacent angle Noun

koki pātata

adjacent side Noun

tapa pātata

alternate angle Noun

koki tauwhiti (takenga mai: tau - to land, come to rest, perch; whiti - to cross over)

altitude, height, high, tall Noun, Adjective

teitei (kupu kē atu: tāroaroa [of a person], tiketike)

angle Noun

koki

angle of depression Noun

koki tāheke

angle of elevation Noun

koki rewa

annulus Noun

tarawhiti ahu-2 (takenga mai: tarawhiti - to encircle, hoop, ring; ahu-2 - 2-dimensional) (kupu kē atu: tarawhiti papatahi)

answer, product, quotient, result, solution Noun

otinga (takenga mai: oti – finished, completed) (kupu kē atu: hua)

anticlockwise Noun, Adverb, Adjective

kōaro

apex Noun

tihi (takenga mai: tihi – summit, top, peak)

apothem Noun

toropū hāngai (takenga mai: toro – stretch forth, extend; pū – centre; hāngai – perpendicular)

apparatus, device, equipment, instrument, tool Noun

taputapu

arc Noun

pewa (takenga mai: pewa – anything bow-shaped)

area Noun

horahanga (takenga mai: hora – spread out)

arrow Noun

pere

arrow head shape Noun

pere tapawhā

attribute block Noun

poro āhuatanga ake

attribute, feature, property Noun

āhuatanga

axis Noun

tuaka (takenga mai: tuaka – midrib of a leaf)

axis of symmetry Noun

tuaka hangarite

base (of a geometrical figure) Noun

pūtake

bisect Noun, Transitive Verb, Adjective

weherua ~tia (takenga mai: wehe – divide; rua – two)

bisector, median (of a triangle) Noun

rārangi weherua (takenga mai: rārangi - line; weherua - to divide in two)

block Noun

poro (kupu kē atu: poraka)

bottom view Noun

tirohanga (mai i) raro

breadth, wide, width Noun, Adjective

whānui

build, construct, create, generate, make, compose Transitive Verb

waihanga ~tia (kupu kē atu: hanga)

central angle Noun

koki pū

centroid (of a triangle) Noun

pū tapatoru

chevron Noun

pere tapaono (kupu kē atu: kaokao)

chord Noun

aho (takenga mai: aho - weft, cross threads of weaving; aho - line, cord)

circle Noun, Transitive Verb, Adjective

porowhita ~tia (kupu kē atu: porohita ~tia)

circle geometry Noun

āhuahanga porowhita

circumcentre Noun

pū porowhita rāwaho

circumcircle Noun

porowhita rāwaho

circumference, perimeter Noun

paenga

classify, group Noun, Transitive Verb

whakarōpū ~tia ~ tanga

clinometer Noun

ine-rōnaki (takenga mai: ine – measure; rōnaki – sloping, slanting)

clockwise Adjective, Adverb

whakatekaraka (kupu kē atu: ā-karaka)

closed curve Noun

kōpiko kati

co-interior angle Noun

koki tauroto (takenga mai: tau - to land, come to rest, perch; roto - inside)

co-ordinate geometry Noun

āhuahanga taunga

collinear points Noun

pūwāhi whakarārangi

compass (direction) Noun

kāpehu

compass (for drawing circles) Noun

tāporowhita (takenga mai: tā –to draw; porowhita – circle) (kupu kē atu: taputapu tuhi porowhita)

complementary angles Noun

koki whakahāngai (takenga mai: koki – angle; whaka – causative prefix, to make; hāngai – perpendicular)

concave Adjective

kōpapa

concentric Adjective

pūrite (takenga mai: pū – centre; rite – alike, corresponding)

concentric circles Noun

porowhita pūrite

concertina Noun

whētuitui hokohoko (takenga mai: whētui – fold; hokohoko – alternate)

concrete model Noun

tauira ōkiko (takenga mai: ōkiko - physical; ō - pertaining to; kiko - body, substance)

concurrent lines, intersecting lines Noun

rārangi pūtahi

cone, pyramid Noun

koeko

conjugate angles Noun

koki whakahuripū (takenga mai: koki – angle; whaka – causative prefix, to make; huri – turn; pū – origin, heart, centre)

convergent lines Noun

rārangi ūngutu

convex Adjective

koropuku

copy, repeat Noun, Transitive Verb

tārua ~tia ~tanga

corner Noun

kokonga (kupu kē atu: akitu)

correct, right Intransitive Verb, Adjective

tika (kupu kē atu: tōtika)

corresponding angle Noun

koki taurite (takenga mai: tau - to land, come to rest, perch; rite - similar, corresponding to)

cosine Noun

whenu (tohu: ) (takenga mai: whenu – warp of a flax garment)

cross-section Noun

motuhanga (takenga mai: motu – severed, cut)

cube Noun

mataono rite (takenga mai: mata - face; ono - six; rite - similar, alike)

curve, curved Noun, Adjective

kōpiko

curved line Noun

rārangi kōpiko

curved solid Noun

āhua ahu-3 mata kōpiko

curvilinear shape Noun

āhua kōpiko

curvilinear triangle Noun

tapatoru kōpiko

cyclic quadrilateral Noun

tapawhā pūtahi porowhita

cylinder Noun

rango (takenga mai: rango – roller)

decagon (regular) Noun

tapa-tekau (rite)

degree (angle and temperature) Noun

putu (tohu: º) (takenga mai: putu - lie one upon another) (kupu kē atu: tākiri [kupu mino])

diagonal Noun, Adjective

hauroki

diagram Noun, Transitive Verb

hoahoa ~ina (takenga mai: hoahoa – plan of a house)

diameter Noun

whitianga (takenga mai: whiti – cross over, reach the other side)

diamond shape Noun

taimana (takenga mai: He kupu mino.) (kupu kē atu: tapawhā whakarara rite, whakarara rite)

dimension (of space) Noun

ahu ~nga

direction, bearing, orientation, directed toward Noun, Intransitive Verb

ahu ~tia ~ nga (kupu kē atu: anga, aro ~nga)

distinctive, prominent Adjective

kōhure (takenga mai: kōhure – outstanding, conspicuous) (kupu kē atu: tāpua)

distort, distortion Noun, Transitive Verb, Adjective

whakapeka ~tia ~ nga

divergent lines Noun

rārangi tīhoi

dodecagon (regular) Noun

tapa-tekau mā rua (rite)

dodecahedron (regular) Noun

mata-tekau mā rua (rite)

dot, point Noun

ira (takenga mai: ira – freckle, mole) (kupu kē atu: tongi)

edge, side Noun

tapa (kupu kē atu: taha)

ellipse Noun, Adjective

pororapa (takenga mai: poro [porowhita] – circle; rapa – spread out, extended)

ellipsoid

poirapa (takenga mai: poi – sphere; rapa – spread out, extended)

equal, congruent Adjective

ōrite (tohu: =)

equilateral triangle Noun

tapatoru rite

equivalent (size), same amount Adjective

ōrite te rahi

exterior angle, external angle Noun

koki waho

face (of a solid figure) Noun

mata

flat Adjective

papatahi

flip Noun, Intransitive Verb

kauhuri ~a ~nga (kupu kē atu: huripoki)

floor plan Noun

hoahoa ā-papa

front view Noun

tirohanga (mai i) mua

frustum Noun

motuhanga pūtake (takenga mai: motu – severed, cut; pūtake – base)

geometric strategy Noun

rautaki āhuahanga

geometry Noun

āhuahanga

golden ratio Noun

ōwehenga huatau (takenga mai: ōwehenga - ratio; huatau - comely, suitable, elegant, graceful)

grid Noun

tukutuku

grid paper Noun

pepa tukutuku

half-turn (180˚) Noun

hurihanga haurua

helix Noun

maurea (takenga mai: maurea - tiger shell)

hemisphere Noun

poi haurua

heptagon (regular) Noun

tapawhitu (rite)

hexagon (regular) Noun

tapaono (rite) (takenga mai: tapa - side; ono - six; rite - similar, alike)

hexagonal prism Noun

poro-tapaono

hexagonal pyramid (regular) Noun

koeko-tapaono (rite)

horizontal Adjective, Noun, Intransitive Verb

huapae (kupu kē atu: pae, whakapae)

horizontal cross-section Noun

motuhanga pae (kupu kē atu: motupae)

horizontal line Noun

rārangi huapae

hypotenuse Noun

tāroa (takenga mai: tāroa – long)

hypothesis Noun, Transitive Verb

whakapae ~tia

icosahedron (regular) Noun

mata-rua tekau (rite)

incentre Noun

pū porowhita rāroto

incircle, inscribed circle Noun

porowhita rāroto

inscribed angle Noun

koki rāroto

intercept Noun, Transitive Verb

haukoti ~a ~nga

interior angle, internal angle Noun

koki roto

intersect, intersection Noun, Intransitive Verb

pūtahi ~tanga (takenga mai: pūtahi – join, meet)

invariant property Noun

āhuatanga pūmau (takenga mai: āhuatanga – property; pūmau – fixed, constant, permanent)

invariant, fixed, constant Intransitive Verb, Adjective

pūmau

inverse cosine Noun

whenu kōaro (tohu: )

inverse sine Noun

aho kōaro (tohu: )

inverse tangent Noun

pātapa kōaro (tohu: )

investigate, investigation Noun, Transitive Verb

tūhura ~tia ~tanga

irregular, asymmetric Adjective, Intransitive Verb

hikuwaru (takenga mai: hikuwaru – crooked, asymmetrical)

isometric Noun, Adjective

inerite (takenga mai: ine – measure; rite - alike, corresponding)

isometric diagram Noun

hoahoa inerite

isometric grid Noun

tukutuku inerite

isosceles Adjective

waerite (takenga mai: wae – leg, foot; rite – alike, corresponding)

isosceles trapezium Noun

taparara waerite

isosceles triangle Noun

tapatoru waerite

justify, justification Noun, Transitive Verb

parahau ~tia ~tanga (takenga mai: parahau – protection, defence)

kite shape Noun

manu tapawhā (takenga mai: manu - kite; tapawhā – quadrilateral)

left side view Noun

tirohanga (mai i te taha) mauī

length, long Noun, Adjective

roa ~nga (kupu kē atu: whāroa)

limit of accuracy Noun

tepe o te tōtika (takenga mai: tepe – boundary, limit; tōtika –accurate, accuracy)

line Noun

rārangi

line of symmetry Noun

rārangi hangarite

line segment Noun

rārangi poro

line symmetry, reflective symmetry Noun

hangarite whakaata

locus Noun

huanui (takenga mai: huanui – path, pathway)

major arc Noun

pewa matua

major sector Noun

pewanga matua

major segment Noun

tapahanga matua

mental image, visualise, imaging Noun, Intransitive Verb, Transitive Verb

whakaahua ā-hinengaro (kupu kē atu: pohewa, ata ā-hinengaro)

method, technique, convention, meaning Noun

tikanga

middle Noun, locative

waenganui

minor arc Noun

pewa iti

minor sector Noun

pewanga iti

minor segment Noun

tapahanga iti

multilink cubes Noun

mataono honohono (kupu kē atu: poraka honohono, poro honohono)

net (of a solid figure) Noun

raumata (takenga mai: raumata – mesh of a net)

nonagon (regular) Noun

tapaiwa (rite)

oblique Adjective

hōtiu (takenga mai: hōtiu – oblique, inclined; hōtiu – oblique, inclined)

oblique cone, oblique pyramid Noun

koeko hōtiu

oblique cross-section Noun

motuhanga hōtiu

oblique cylinder Noun

rango hōtiu

oblique line Noun

rārangi hōtiu (kupu kē atu: rārangi tītaha)

oblique square prism Noun

poro-tapawhā rite hōtiu

oblique square pyramid Noun

koeko-tapawhā rite hōtiu

obtuse angle Noun

koki hāpūpū (takenga mai: koki – angle; hāpūpū – blunt)

obtuse-angled triangle Noun

tapatoru koki hāpūpū

octagon (regular) Noun

tapawaru (rite) (takenga mai: tapa - side; waru - eight; rite - similar, alike)

octagonal prism Noun

poro-tapawaru

octahedron (regular) Noun

matawaru (rite) (takenga mai: mata - face; waru - eight; rite - similar, alike)

one-dimensional Adjective

ahu-tahi (whakapotonga: ahu-1)

open curve Noun

kōpiko huaki

opposite Noun, Adjective

tauaro (kupu kē atu: anganui)

opposite angle Noun

koki tauaro (takenga mai: tau - to land, come to rest, perch; aro - to face; tauaro - opposite)

opposite direction, inverse direction Noun

ahunga kōaro

opposite side Noun

tapa tauaro

order of symmetry Noun

tau hangarite

outcome Noun

putanga (takenga mai: puta – come forth, come out) (kupu kē atu: hua, otinga)

oval Noun, Adjective

porohema (takenga mai: poro [porowhita] – circle; hema – tapering)

overlap Noun, Transitive Verb

inaki

ovoid Noun

poihema (takenga mai: poi – sphere; hema – tapering)

parallel Adjective

whakarara (takenga mai: whakarara – mark in parallel lines)

parallel line Noun

rārangi whakarara

parallelogram Noun

tapawhā whakarara

pattern Noun

tauira

pentagon (regular) Noun

taparima (rite)

pentagonal prism Noun

poro-taparima

pentomino Noun

tapawhā rite-rima (takenga mai: tapawhā rite - square; rima - five)

perpendicular bisector Noun

rārangi weherua hāngai

perpendicular line Noun

rārangi hāngai

perpendicular, at right angles Adjective

hāngai (takenga mai: hāngai – across, at right angles, astride)

pi Noun

pae (tohu: π) (takenga mai: He kupu mino [reo Kiriki].)

plan view Transitive Verb

tirohanga (mai i) runga (kupu kē atu: tirohanga ā-manu, hoahoa ā-manu)

polycube Noun

mataono rite-rau

polygon (regular) Noun

taparau (rite) (takenga mai: tapa – margin, edge; rau –many; rite – alike, similar)

polyhedron (regular) Noun

matarau (rite) (takenga mai: mata – face; rau - many; rite - alike, similar)

polyomino Noun

tapawhā rite-rau (takenga mai: tapawhā rite - square; rau - many)

prism Noun

poro (takenga mai: poro – butt end, block)

protractor Noun

ine-koki

puzzle, guessing game Noun

panga

quadrant Noun

porowhita hauwhā

quadrilateral Noun

tapawhā (takenga mai: tapa – margin, edge; whā – four)

quarter-turn (90˚) Noun

hurihanga hauwhā

quatrefoil Noun

pewawhā (takenga mai: pewa - arc, arched; whā - four)

radius Noun

pūtoro (takenga mai: pū – centre; toro – stretch forth, extend)

ratio Noun

ōwehenga (tohu: :) (takenga mai: ō - of, belonging to; wehenga - portion, part, division)

rear view Noun

tirohanga (mai i) muri

rectangle, oblong

tapawhā hāngai

rectangular prism, cuboid Noun

poro-tapawhā hāngai

rectangular pyramid Noun

koeko-tapawhā hāngai

reflex angle Noun

koki rāwaho

region (of space or time) Noun

takiwā

regular (shape) Adjective

rite (kupu kē atu: ōrite)

repeated transformation Noun

panoni tāruarua

representation Noun

whakaahuahanga

rhombus, diamond shape Noun

tapawhā whakarara rite (kupu kē atu: whakarara rite, taimana)

right angle Noun

koki hāngai (tohu: )

right cone, right pyramid Noun

koeko hāngai

right side view Noun

tirohanga (mai i te taha) matau

right-angled triangle, right triangle Noun

tapatoru hāngai

rotate, rotation, turn Noun, Transitive Verb

huri ~hia ~hanga

rotational symmetry Noun

hangarite hurihanga

Soma cube Noun

mataono rite a Soma

scale Noun

āwhata (takenga mai: arawhata – ladder)

scale drawing, scale diagram Noun

hoahoa hurirahi (takenga mai: huri - to change; rahi - size) (kupu kē atu: tānga hurirahi)

scalene triangle Noun

tapatoru hikuwaru

sector Noun

pewanga

segment Noun

tapahanga (takenga mai: tapa – cut, split)

semicircle Noun

porowhita haurua

semicircumference Noun

paenga (o te) porowhita haurua

set square Noun

tāhāngai (takenga mai: tā –to draw; hāngai [koki hāngai] – right angle)

shape Noun

āhua (kupu kē atu: hanga, hanga)

shear Noun

tītahatanga (takenga mai: tītaha – lean to one side, slant)

similar (in proportion) Adjective

rite

similar (shape) Adjective

ōrite te āhua

simple closed curve Noun

ānau kati

simple curve Noun

ānau (kupu kē atu: kōpiko māmā)

simple open curve Noun

ānau huaki

sine Noun

aho (tohu: sin)

solid with curved and flat surfaces Noun

āhua ahu-3 mata kōpiko, mata papatahi

space, spatial Noun, Adjective

mokowā

square Noun

tapawhā rite

square prism Noun

poro-tapawhā rite

square pyramid Noun

koeko-tapawhā rite

straight Adjective

torotika

straight line Noun

rārangi torotika

straight line angle Noun

koki rārangi (kupu kē atu: koki torotika)

supplementary angles Noun

koki whakarārangi (takenga mai: koki – angle; whaka– causative prefix, to make; rārangi – line)

surface area Noun

horahanga mata

symmetrical, symmetry Noun, Intransitive Verb, Adjective

hangarite (takenga mai: hanga – shape; rite – alike, corresponding)

systematic Adjective, Intransitive Verb

nahanaha (takenga mai: nahanaha – well arranged, in good order)

tangent (to a curve) Noun

pātapa (takenga mai: pā – connected with, touch; tapa – edge)

tangent (trigonometry) Noun

pātapa (tohu: tan)

tangential angle Noun

koki pātapa

tangential circles Noun

porowhita pātapa

tangential line Noun

rārangi pātapa

tangential ratio Noun

ōwehenga pātapa

tangram Noun

hangawhitu (takenga mai: hanga – shape; whitu – seven)

tesselate, tessellation, tiling, mosiac Noun, Intransitive Verb

rōpinepine (takenga mai: rōpine – place close together)

tetrahedron (regular) Noun

matawhā (rite) (takenga mai: mata - face; whā - four; rite - similar, alike) (kupu kē atu: koeko-tapatoru [rite])

theorem of Pythagoras Noun

(te) ture a Pythagoras

three-dimensional Adjective

ahu-toru (whakapotonga: ahu-3) (kupu kē atu: ahutoru)

three-dimensional model Noun

tauira ahu-toru (whakapotonga: tauira ahu-3)

three-dimensional figure, solid (shape) Noun

āhua ahu-toru (whakapotonga: āhua ahu-3)

tile Noun

papariki (takenga mai: papa – anything broad, flat and hard; riki – small)

torus Noun

tarawhiti ahu-3 (takenga mai: tarawhiti – hoop, ring, encircle; ahu-3 - 3-dimensional)

trace Noun, Transitive Verb

tāwhai ~tia ~tanga (takenga mai: tawhai - to imitate) (kupu kē atu: whaituhi)

transform, transformation Noun, Transitive Verb

panoni ~hia ~ tanga (takenga mai: panoni – change)

transformation geometry Noun

āhuahanga panoni

transformation sequence Noun

raupapatanga panoni

transversal Noun

rārangi whakawhiti

trapezium Noun

taparara (takenga mai: tapa [tapawhā] – quadrilateral; rara [whakarara] – parallel)

trapezoidal prism Noun

poro-taparara

triangle Noun

tapatoru

triangular prism Noun

poro-tapatoru

triangular pyramid (regular), tetrahedron Noun

koeko-tapatoru (rite) (kupu kē atu: matawhā [rite])

trigonometric ratio Noun

ōwehenga pākoki

trigonometry Noun

pākoki (takenga mai: pā – connected with; koki – angle)

two-dimensional Adjective

ahu-rua (whakapotonga: ahu-2) (kupu kē atu: ahurua)

two-dimensional figure Noun

āhua ahu-rua (whakapotonga: āhua ahu-2)

two-dimensional model Noun

tauira ahu-rua (whakapotonga: tauira ahu-2)

variable Noun, Intransitive Verb, Adjective

taurangi

variant property Noun

āhuatanga taurangi (takenga mai: āhuatanga – property; taurangi – variable)

vertical Adjective, Intransitive Verb

poutū (kupu kē atu: pou, poupou)

vertical line Noun

rārangi poutū

view Noun

tirohanga

whole Noun

tūtahi (kupu kē atu: katoa)

whole angle, full turn (360˚) Noun

koki huripū