I-parallelogram iyi-quadrilateral lapho amapheya womabili ezinhlangothi eziphambene ehambisana khona. … Izinhlangothi eziphikisanayo ziyahambisana; Ama-engeli aseduze nawo angezelelwe; Ama-diagonal ahlukana kabili.
Lapha, zingaki izinhlangothi eziphikisanayo inazo ipharalelogramu? Ipharalelogramu ine izinhlangothi ezine ingqikithi namapheya amabili ezinhlangothi ahambisanayo. Isikwele yipharalelogram enezinhlangothi ezine ezilinganayo. Izinhlangothi eziphambene ziyahambisana futhi wonke amakhona esikwele akha i-engeli engakwesokudla. Unxande uyipharalelogramu enezinhlangothi ezine eziphambene, ezihambisanayo, ezihlangene.
Ingabe izinhlangothi eziphambene zepharalelogramu zihlala zihambisana? Izakhiwo Eziyisisekelo ze-Parallelograms
Ukuze uqale ngemithetho eyisisekelo, izinhlangothi ezimelene zepharalelogramu zihlala zilingana ngobude futhi ziyahambisana. Ngaphakathi kwepharalelogramu, ama-engeli aphikisanayo ahlala ehlangene. Ama-engeli alele eduze komunye nomunye ahlala engeza (engeza kufika kuma-degree angu-180).
Ukwengeza Ubonisa kanjani ukuthi izinhlangothi eziphambene zepharalelogramu ziyalingana? Ukufakazela: Izinhlangothi eziphambene ziyalingana, AB = CD kanye BC = AD . Kupharalelogram ABCD, qhathanisa nonxantathu ABC kanye CDA. Kulaba bonxantathu: AC = CA (uhlangothi oluvamile)
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Sine:
- RE=EQ.
- ET = PE (Ama-diagonal ahlukanisa omunye nomunye)
- ∠RET =∠PEQ (ama-engeli aphambene aqondile).
Uzixazulula kanjani izinhlangothi eziphambene zepharalelogramu ehambisanayo?
Uwathola kanjani ama-engeli aphambene wepharalelogramu?
Ingabe ama-engeli ahlukaniswe kabili kupharalelogramu? Zonke izici zepharalelogramu ziyasebenza (okubalulekile lapha izinhlangothi ezihambisanayo, ama-engeli aphikisanayo ayahambisana, nama-engeli alandelanayo ayangezelelwa). … Ama-diagonal ahlukanisa ama-engeli.
Ingabe izinhlangothi eziphambene zepharalelogramu zinobude obulinganayo? Kupharalelogramu, ipheya ngayinye yezinhlangothi eziphambene ziyi- ubude obulinganayo. ...
Uluthola kanjani olunye uhlangothi lwepharalelogramu?
Kunezici eziyisithupha ezibalulekile zamapharalelogramu okufanele uzazi:
- Izinhlangothi eziphikisanayo ziyi-congruent (AB = DC).
- Izingelosi eziphikisanayo zihlangene (D = B).
- Ama-engeli alandelanayo ayangezelela (A + D = 180°).
- Uma i-engeli eyodwa ilungile, khona-ke wonke ama-engeli alungile.
- Ama-diagonal wepharalelogramu ahlukaniswa kabili.
Futhi Ingabe ipharalelogramu inezinhlangothi ezi-4 ezilinganayo? Ipharalelogramu enezinhlangothi ezi-4 ezilinganayo ingu-a isigqi.
Kungani ama-engeli aphikisanayo epharalelogramu elingana?
Ama-engeli aphikisanayo we-Parallelogram ayalingana
Kunikezwe: I-Parallelogram ABCD. Siyazi ukuthi amanye ama-engeli angaphakathi ayalingana. Ngombandela wokuhlanganisa we-ASA, onxantathu ababili bahambisana nomunye. Ngakho-ke, kufakazelwa ukuthi ama-engeli aphambene wepharalelogramu ayalingana.
Uzithola kanjani izinhlangothi zepharalelogramu?
Ingabe amapharalelogramu anama-engeli aphambene ahlangene?
Uma i-quadrilateral iyipharalelogram, khona-ke ama-engeli alo aphikisanayo ahlangene. Uma i-quadrilateral iyipharalelogramu, ama-diagonal ayo ahlukanisa kabili. Uma i-quadrilateral iyipharalelogramu, khona-ke ama-engeli alandelanayo ayangezelela.
Ingabe ama-engeli aphikisanayo ahlangene?
Ama-engeli aphikisanayo. Ama-engeli aphikisanayo angama-engeli angasondelene akhiwe imigqa emibili ephambanayo. Ama-engeli aphikisanayo ziyahambisana (elinganayo ngesilinganiso).
Yiziphi izinhlangothi zepharalelogramu? Ipharalelogramu iyisimo esinezinhlangothi ezimbili. Ine izinhlangothi ezine, lapho amapheya amabili ezinhlangothi ahambisana khona. Futhi, izinhlangothi ezihambisanayo ziyalingana ngobude. Uma ubude bezinhlangothi ezihambisanayo bungalingani ngesilinganiso, khona-ke umumo awuyona ipharalelogramu.
Uyifakazela kanjani i-Theorem ye-8.3?
Kungani ikhayithi ingeyona ipharalelogramu?
Ama-Kite awuhlobo olukhethekile lwe-quadrilateral elinamapheya amabili ahlukene ezinhlangothi ezilandelanayo ezinobude obufanayo. …Ngokufanayo, yonke ikhayithi aliyona ipharalelogramu, ngoba izinhlangothi eziphambene ikhayithi azihambisani ngempela.
Iyiphi indawo yepharalelogramu okufanele isetshenziselwe ukuthola isilinganiso se-engeli ephambene? Ama-Angles aphikisanayo Kuhle
Ukuze uthole ukuthi i-quadrilateral yakho iyipharalelogram, ungakhipha i-protractor yakho bese ukala i-engeli ngayinye. Ama-engeli aphikisanayo azokuba nesilinganiso esifanayo. Kuvamile ukuthi ipharalelogramu ibe nama-engeli amabili ashubile kanye nama-engeli amabili obtuse.
Uluthola kanjani uhlangothi lwesine lwepharalelogramu?
Siyazi ukuthi izinhlangothi eziphambene zepharalelogramu ziyalingana. Ngakho, AB = CD kanye BC = AD. x=9 kanye y=4. Ngakho, i-vertex yesine i (9,4).
Iyiphi i-quadrilateral eyipharalelogramu enezinhlangothi ezi-4 ezilinganayo? I-Parallelogram: I-quadrilateral enamapheya angu-2 ezinhlangothi ezihambisanayo. Unxande: Ipharalelogramu enama-engeli angu-4 kwesokudla. I-Rhombus: Ipharalelogramu enezinhlangothi ezi-4 ezinobude obulinganayo.
Ingabe izinhlangothi zepharalelogramu ziyalingana?
Ipharalelogramu iyi-quadrilateral ene izinhlangothi eziphambene ezihambisanayo (ngakho-ke ama-engeli aphikisanayo ayalingana). I-quadrilateral enezinhlangothi ezilinganayo ibizwa ngokuthi i-rhombus, futhi ipharalelogramu enama-engeli alungile ibizwa ngokuthi unxande.
Ipharalelogramu inama-engeli amangaki aphikisanayo? Ama-engeli aphikisanayo we-Parallelogram ayalingana
Kunikezwe: I-ABCD iyipharalelogram, ene ama-engeli amane ∠A, ∠B, ∠C, ∠D ngokulandelanayo. Lokhu kunikeza ∠B = ∠D nge-CPCT (izingxenye ezihambelanayo zonxantathu abahlangene). Ngokufanayo, singabonisa ukuthi ∠A =∠C. Ngakho-ke kwafakazelwa, ukuthi ama-engeli aphikisanayo kunoma iyiphi ipharalelogramu ayalingana.
Iyini isamba sama-engeli aphikisanayo kupharalelogramu?
Siyazi, ama-engeli aphikisanayo kupharalelogramu ayalingana. I-engeli eyodwa mayibe ngu-x°. Idatha Enikiwe - Isamba sama-engeli amabili aphikisanayo wepharalelogramu 130 °. Siyazi ukuthi isamba sawo wonke ama-engeli kupharalelogramu singu-360°.
Ingabe izinhlangothi zepharalelogramu ziyalingana? I-parallelogram iyi-quadrilateral enezinhlangothi eziphambene ezihambisanayo (ngakho-ke ama-engeli aphikisanayo alinganayo). I-quadrilateral enezinhlangothi ezilinganayo ibizwa ngokuthi i-rhombus, futhi ipharalelogramu enama-engeli alungile ibizwa ngokuthi unxande.
Ahlanganisani ama-engeli aphikisanayo kupharalelogramu?
Ama-engeli aphambene wepharalelogramu ayahambisana (ayalingana). Lapha, ∠A = ∠C; ∠D = ∠B. Wonke ama-engeli wepharalelogramu afinyelela phezulu 360 °.
Yiziphi ama-engeli amabili aphikisanayo wepharalelogramu?
Ipharalelogramu ichazwa ngokuthi i-quadrilateral lapho izinhlangothi ezimbili eziphambene zihambisana khona. Enye yezimpawu zamapharalelogramu ukuthi ama-engeli aphikisanayo ayahambisana, njengoba sizobonisa manje.