角度之解釋

2010-03-05 3:08 am
求角度的所有解釋(曉多少就寫多少)。要求:中文解釋+英文解釋+英文縮寫

例子:

直線上的鄰角 adjacent angles on a straight line adj.∠s on st. ln.

同旁內角 interior angles on the same side int.∠s,AB//CD

△內角和 angle sum of triangle ∠ sum of △

回答 (1)

2010-03-18 8:38 am
✔ 最佳答案
Basic Angles
angles at a point (∠s at a pt.)
vertically opposite angles (vert.opp.∠s)

Congruent Triangles and Similar Triangles
corresponding angles, ABC congruent XYZ (corr.∠s,△AB(~=) △XYZ)
corresponding angles, ABC similar XYZ (corr.∠s,△ABC~△XYZ)

Parallel Lines
corresponding angles, AB//CD (corr.∠s,AB//CD)
alternate angles, AB//CD (alt.∠s, AB//CD)

Triangles
exterior angle of triangle (ext.∠ of △)
Base angles, isosceles triangle (Base∠s, iso. △)
Property of isosceles triangle (Property of iso.△)
Property of equilateral triangle (Property of equi.△)
Converse of Pythgora's Theorem (Converse, Pyth.Theorem)

Polygon
angle sum of polygon (∠ sum of polygon)
sum of exterior angles of polygon (sum of ext.∠s of polygon)

Quadrilaterals
opposite angles, parallelogram (opp.∠s, //gram)
but usually use (Property of //gram) now.
and for others (Property of rhombus) (Property of rect.) (Property sq.)
and for rect. and sq. , their angles are 90 degrees.

Circle
line joining mid-point of chord (line joining mid-pt. of chord)
angle at centre equal to two angles at circumference (∠ at centre=2∠s at circumference) or angle at circumference equal to 1/2angle at centre (∠ at circumference=1/2∠ at centre)
angles in same segment (∠s in same seg.)
angle in semi-circle (∠ in semi-circle)
opposite angles, concyclic quadrilateral (opp.∠s, cyclic quad.)
exterior angle, concyclic quadrilateral (ext.∠, cyclic quad.)
equal angles, equal arcs (eq.∠s, eq. arcs)
equal arcs, equal angles (eq. arcs, eq.∠s)
tangent perpendicular to radius (tangent (an upside down T) to radius)
tangent from exterior point (tangent from ext. pt.)
angle in alternate segment (∠ in alt. seg.)

Note: I cannot give out the Chinese abbriviations and the abbrivations of circle may not be correct.

2010-03-18 00:41:12 補充:
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