Pob zeb diamond, Rhombus vs Trapezoid
Pob zeb diamond, Rhombus, thiab Trapezoid yog tag nrho cov quadrilaterals, uas yog polygons nrog plaub sab. Thaum rhombus thiab trapezium raug txhais kom raug hauv kev ua lej, pob zeb diamond (los yog pob zeb diamond zoo) yog ib lub sij hawm tus neeg ua haujlwm rau rhombus.
Rhombus and Diamond
Ib lub plaub fab nrog txhua sab sib npaug yog qhov ntev yog hu ua rhombus. Nws tseem yog lub npe hu ua equilateral quadrilateral. Nws raug suav hais tias muaj lub pob zeb diamond zoo ib yam li ib qho hauv cov ntawv ua si. Pob zeb diamond zoo tsis yog qhov tseeb geometrical qhov chaw.
Rhombus yog ib rooj plaub tshwj xeeb ntawm parallelogram. Nws tuaj yeem suav tau tias yog ib qho parallelogram nrog sib npaug sab. Lub square tuaj yeem suav hais tias yog qhov tshwj xeeb ntawm lub rhombus, qhov twg cov ces kaum sab hauv yog cov kaum sab xis. Feem ntau, lub rhombus muaj cov khoom tshwj xeeb hauv qab no
• Tag nrho plaub sab yog sib npaug ntawm qhov ntev. (AB=DC=AD=BC)
• Cov kab pheeb ces kaum ntawm lub rhombus bisect ib leeg ntawm txoj cai kaum; diagonals yog perpendicular rau ib leeg, ntxiv rau cov khoom nram qab no ntawm parallelogram.
• Ob khub ntawm lub kaum sab xis sib npaug. (DÂB=BĈD, A ̂ DC=A ̂ BC)
• The adjacent angles are supplementary DÂB + A ̂ DC=A ̂ DC + B ̂ CD=B ̂ CD + A ̂ BC=A ̂ BC + D ̂ AB=180°=π rad
• Ib khub ntawm sab, uas tawm tsam ib leeg, yog sib npaug thiab sib npaug ntawm qhov ntev. (AB=DC & AB∥DC)
• Cov kab pheeb ces kaum sib cais (AO=OC, BO=OD)
• Txhua kab kab pheeb ces kaum faib cov plaub fab rau hauv ob daim duab peb sab congruent. (∆ ADB ≡ ∆ BCD, ∆ ABC ≡ ∆ ADC)
• Cov kab pheeb ces kaum bisect ob opposite sab hauv lub ces kaum.
Thaj tsam ntawm lub rhombus tuaj yeem suav nrog cov qauv hauv qab no.
Area of rhombus=½ (AC × BD)
YTrapezoid (Trapezium)
Trapezoid yog ib qho convex quadrilateral qhov tsawg kawg yog ob sab yog tib yam thiab tsis sib npaug ntawm qhov ntev. Ob sab ntawm lub trapezoid yog hu ua lub hauv paus thiab ob sab yog hu ua ob txhais ceg.
Ua raws li cov yam ntxwv tseem ceeb ntawm trapezoids;
• Yog tias cov ces kaum uas nyob ib sab tsis nyob ntawm tib lub hauv paus ntawm lub trapezoid, lawv yog cov ces kaum ntxiv. i.e. lawv ntxiv txog 180° (BA ̂D + AD ̂C=AB ̂C + BC ̂D=180°)
• Ob kab kab pheeb ces kaum ntawm lub trapezium sib tshuam ntawm tib qhov sib piv (qhov sib piv ntawm ntu ntawm kab pheeb ces kaum sib npaug).
• Yog tias a thiab b yog hauv paus thiab c, d yog ob txhais ceg, qhov ntev ntawm kab pheeb ces kaum yog muab los ntawm
Thaj tsam ntawm lub trapezoid tuaj yeem suav nrog cov qauv hauv qab no.
Nyeem qhov txawv ntawm Parallelogram thiab Trapezoid
Dab tsi yog qhov txawv ntawm Pob Zeb Diamond, Rhombus thiab Trapezoid?
• Rhombus thiab Trapezoid yog cov khoom siv lej txhais tau zoo thaum lub pob zeb diamond zoo li tus neeg ua haujlwm lub sijhawm. Txhua daim duab muaj plaub sab, thiab cov duab pob zeb diamond hais txog lub rhombus.
• Rhombus muaj ob sab sib npaug, nrog cov tawm tsam sib npaug rau ib leeg. Trapezoid muaj qhov sib npaug sab hauv feem ntau, nrog ob sab sib luag rau ib leeg. Tsuas yog ob txhais ceg ntawm trapezoid tuaj yeem sib npaug.
• Ib kab pheeb ces kaum ntawm lub rhombus cais lub rhombus ua ob daim duab peb sab sib dhos. Cov duab peb sab uas tsim los ntawm kab pheeb ces kaum ntawm lub trapezoid tsis tas yuav congruent.
• kab pheeb ces kaum ntawm lub rhombus cuam tshuam ib leeg ntawm txoj cai ces kaum ntawm kab pheeb ces kaum ntawm lub trapezoid tsis tas perpendicular rau ib leeg.
• Diagonals ntawm lub rhombus bisect ib leeg thaum diagonals ntawm lub rhombus sib tshuam ntawm tib ratio.
