Mathematical expressions in Japanese high school entrance exams

This page is a mini Japanese-to-English dictionary of the mathematical terms used in Japanese high school entrance exams.

にとうへんさんかくけい Isosceles triangle
二等辺三角形
たいかくせん Diagonal
対角線
に直線を引き Draw a line perpendicular to
さんへいほうのていり Pythagoras’s theorem
三平方の定理
ひれいていすう Constant of proportionality
比例定数
よしき This equation; the given equation
与式
いんすうぶんかい Factorization
因数分解
Term “b” in factorization, $ax^2 + bx + c$
せき Term “c” in factorization, $ax^2 + bx + c$
ちゅうてんれんけつていり Mid-point theorem
中点連結定理
AB//CD Line AB is the same length as line CD.
△ABC ∽ △DEF Triangle ABC is similar to triangle DEF
そうじ Similar, similarity
相似
いちじほうていしき Linear equation
一次方程式
どくりつしょうもんしゅうごうだい Collection of small unrelated questions (as opposed to a series of related questions, for example a geometrical proof).
独立小問集合題
点Dを通り辺ABに垂直な直線をひき Draw a line from D perpendicular to line AB
だいけい Trapezium
台形
$x$軸との交点 Point of intersection with the $x$ axis
連立方程式 Simultaneous linear equations
変域 Domain
倍数 Multiple
ざひょう Coordinate
座標
$x$ざひょう $x$ coordinate
$x$座標
にじほうていしき Quadratic equation
二次方程式
げんてん Origin
原点
たいちょうかく Vertical angles
対頂角

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