Maths幾何問題

以下這個網址包括所有中學會教到的Dedutive Geomety 的 reasons 中英文寫法(而且有圖解釋)﹐誠為不可多得之作。
http://resource.puic hing.edu.hk/pub/reso urce/697/GeometryThe oremAbbreviation.200 30411135951.doc?PHPS ESSID=0d3ed9cba28428 326953c4fd855442e2
另外下面是其他網上找到的。
Basic Terms (基本資料):
Given - 已知
Proved in (a) - 在(a)已證
By definition - 根據定義

Congruence (全等):
SSS
SAS
ASA
AAS
RHS
Common angle - 公共角
Common side - 公共邊
Corresponding angles, congruent triangles - 全等三角形的對應角
Corresponding sides, congruent triangles - 全等三角形的對應邊

Similarity (相似):
AAA
3 sides propertional - 三邊成比例
Ratio of 2 sides, included angle - 兩邊成比例且夾角相等
Corresponding angles, similar triangles - 相似三角形的對應角
Corresponding sides, similar triangles - 相似三角形的對應邊

Straight lines and parallel lines (直線與平行線):
Adjacent angles on straight line - 直線上的鄰角
Angles at a point - 同頂角
Vertical opposite angles - 對頂角
Corresponding angles, AB//CD - 同位角，AB//CD
Alternate angles, AB//CD - 錯角，AB//CD
Interior angles, AB//CD - 同旁內角，AB//CD
Corresponding angles equal - 同位角相等
Alternate angles equal - 錯角相等
Interior angles supplementary - 同旁內角互補

Triangle and convex polygon (三角形及凸多邊形):
Angle sum of triangle - 三角形內角和
Exterior angle of triangle - 三角形外角
Base angles of isosceles triangle - 等腰三角形底角
Side opposite angles equal - 等角對邊相等
Property of equilateral triangle - 等邊三角形性質
Angles sum of polygon - 多邊形內角和
Sum of exterior angles of polygon - 多邊形外角和
Pythagoras Theorem - 畢氏定理
Converse of Pythagoras Theorem - 畢氏定理的逆定理

Parallelogram (平行四邊形):
Opposite sides of parallelogram - 平行四邊形對邊
Opposite angles of parallelogram - 平行四邊形對角
Diagonals of parallelogram - 平行四邊形對角線
Opposite sides equal - 對邊相等
Opposite angles equal - 對角相等
Diagonals bisect each other - 對角線互相平分
2 sides equal and parallel - 一組對邊相等且平行
Properties of rectangle - 長方形性質
Properties of square - 正方形性質
Properties of rhombus - 菱形性質

Ratios of lines (直線比例):
Mid-point theorem - 中點定理
Intercept theorem - 截線定理
Equal ratios - 等比定理
Converse of equal ratios - 等比定理的逆定理
Perpendicular bisector theorem - 垂直平分線定理
Converse of Perpendicular bisector theorem - 垂直平分線定理的逆定理
Angle bisector theorem - 角平分線定理
Converse of Angle bisector theorem - 角平分線定理的逆定理

Circle (圓):
Equal radii - 半徑
Equal arc, equal chord - 等弧對等弦
Equal chord, equal angle - 等弦對等角
Equal angle, equal arc - 等角對等弧
Equal chord, equal arc - 等弦對等弧
Equal angle, equal chord - 等角對等弦
Equal arc, equal angle - 等弧對等角
Arc proportional to angle at centre - 弧長與圓心角成比例
Arc proportional to angle at circumference - 弧長與圓周角成比例
Line from centre perpendicular to chord bisects chord - 圓心至弦的垂線平分弦
Line joining centre to mid-point of chord perpendicular to chord - 圓心至弦中點的連線垂直弦
Equal chord, equidistant from centre - 等弦與圓心等距
Chord, equidistant from centre are equal - 與圓心等距的弦等長
Angle in the semi-circle - 半圓上的圓周角
Angle at centre twice angle at circumference - 圓心角兩倍於圓周角
Angles in the same segment - 同弓形內的圓周角
Converse of Angles in the same segment - 同弓形內的圓周角的逆定理
Opposite angles, cyclic quadrilateral - 圓內接四邊形對角
Opposite angles, supplementary - 對角互補
Exterior angle, cyclic quadrilateral - 圓內接四邊形外角
Exterior angle is equal to interior opposite angle - 外角等於內對角

Tangent of circle (圓的切線):
Tangent perpendicular to radius - 切線垂直半徑
Converse of Tangent perpendicular to radius - 切線垂直半徑的逆定理
Angle in alternate segment - 交錯弓形的圓周角
Converse of Angle in alternate segment - 交錯弓形的圓周角的逆定理
Tangent properties - 切線性質