Bai 1: Ve 4 tia chung goc Ax, Ay, Az, At sao cho Ax va Ay doi nhau, 2tia Az va At nam tren nua mat phang co bo chung xy.
a, Tia At nam giua 2 tia nao?
b, Kee ten cac goc ke bu co tren hinh.
cho goc xoy = 140 do , tren tia ox , lay diem a ve tia Az sao cho tia Az va tia oy nam tren cung 1 nua mat phang bo chua tia ox va goc oaz = 40 do . a) CMR Az song song oy b) ve tia Az' la tia doi cua tia Az . CMR 2 duong thang phan biet cua 2 goc xoy va goc oaz song song voi nhau
Hai duong thang xy va zt cat nhau tai O , biet goc XOT= 4 lan goc XOZ . Tinh cac goc con lai : Bai 1
ve goc xay = 50 do . Ve goc x'Ay' doi dinh xAy
a) Tinh cac goc con lai
b)Ve At la tia phan giac cua goc xAy , At' la tia doi cua At . Chung to At' la tia phan giac cua x'Ay
c) Viet ten cac goc doi dinh : Bai 2
Cho goc bet AOB . Tren cung mot nua mat phang bo AB , ta ve 2 tia OC va OD sao cho AOC =BOD=160 do
a) so sanh goc BOC va AOD
b) goc OE la tia doi cua tia OD . Tia OB co la co phai la tia phan giac cua COE k ? Vi sao ?
Giup minh nha thanks giup de co qua
cho goc xoy = 140 do , tren tia ox , lay diem a ve tia Az sao cho tia Az va tia oy nam tren cung 1 nua mat phang bo chua tia ox va goc oaz = 40 do .
a) CMR Az song song oy
b) ve tia Az' la tia doi cua tia Az . CMR 2 duong thang phan biet cua 2 goc xoy va goc oaz song song voi nhau
cho tam giac ABC co goc a nhon M la trung diem cua BC tren tia doi cua tia MA lay diem D sao cho MA=MD chung minh BAM=CDM chung minh AC=AD tren nua mat phang Bo AB ko chua C ve tia Ax vuong goc AB tren nua mat phang bo AC ko chua B ve tia Ay vuong goc AC tren tia Ax lay Diem P sao cho AP=AB tren tia Ay lay diem Q sao cho AQ=AC chung minh tam giac ABQ= tam giac APC goi giao diem cua DA va PQ la K chung minh AK vuong goc PQ
Bai 1: Tren duong thang AB lay diem O. Tren nua mat phang bo AB ve 2 tia OC va OD sao cho \(\widehat{AOC}=\widehat{BOD}=60^0\)
a, Hoi \(\widehat{AOC}\) va \(\widehat{BOD}\)co la 2 goc doi dinh khong? Vi sao?
b, Tren nua mat phang bo AB khong chua tia OD.Ve tia OE sao cho OB la tia phan giac cua \(\widehat{DOE}\). Hoi \(AOC\) va \(\widehat{BOE}\) co la 2 goc doi dinh khong? Vi sao?
Bai 2: 2 duong thang xx phay cat yy phay tai A sao cho \(\widehat{xAy}=47^0\). Tinh 3 goc con lai.
Bài 2:
\(\widehat{xAy}=\widehat{x'Ay'}=47^0\)(hai góc đối đỉnh)
\(\widehat{xAy'}=180^0-\widehat{xAy}=133^0\)(hai góc kề bù)
=>\(\widehat{x'Ay}=133^0\)(hai góc đối đỉnh)
bai 1:cho tam giac ABC vuong tai A,phan giac AD tren canh BC lay diem H sao cho BH=BA
a)CMR:DH vuong goc BC
b)biet gocADH=110 đo.Tinh goc ABD
bai2:cho tam giac ABC co AB=AC=BC.Cac tia phan giac BD va CE cat nhau tai O.CMR:
a)BD vuong goc AC va CE vuong goc AB
b)OA=OB=OC
c)goc AOB=goc BOC=goc COA;tu do suy ra so do cua moi goc ay
bai3:cho O la mot diem cua AB.tren hai nua mat phang doi nhau bo AB ve cac tia Ax va By cung vuong goc voi AB.Lay diem M tren tia Ax,diem N tren tia By sao cho AM=BN.CMR:o la trung diem cua MN
bai 4:cho tam giac ABC vuong tai A co goc C=45 do.Ve phan giac AD.Tren tia doi cua tia AD lay diem E sao cho AE=BC.Tren tia doi cua tia CA lay diem F sao cho CF=AB.CMR:BE=BF va BE vuong goc BF
Bài 3:
Xét 2 \(\Delta\) \(AMO\) và \(BNO\) có:
\(\widehat{MAO}=\widehat{NBO}=90^0\left(gt\right)\)
\(OA=OB\) (vì O là trung điểm của \(AB\))
\(AM=BN\left(gt\right)\)
=> \(\Delta AMO=\Delta BNO\left(c-g-c\right)\)
=> \(\widehat{MOA}=\widehat{NOB}\) (2 góc tương ứng)
Mà \(\widehat{MOA}+\widehat{MOB}=180^0\) (vì 2 góc kề bù)
=> \(\widehat{NOB}+\widehat{MOB}=180^0.\)
=> \(M,O,N\) thẳng hàng. (1)
Ta có: \(\Delta AMO=\Delta BNO\left(cmt\right)\)
=> \(OM=ON\) (2 cạnh tương ứng) (2)
Từ (1) và (2) => \(O\) là trung điểm của \(MN\left(đpcm\right).\)
Bài 4:
bai 1. cho doan thang zz' cat 2 duong thang song song xx' va yy' thu tu tai A vaB . ve tia At la tia phan giac cua xAz' va tia BM la tia phan giac cua zBy'. CMR : At // BM
bai 2 cho tam giac ABC tren nua mat phang bo BC chua diem A ve tia Cx song song voi AB. Ve tia Cy la tia phan giac cua ACx. ve tia Az la tia phan giac cua BAC. CMR Cy // Az
Tren cung nua mat phang bo chua tia ox ve hai tia ot vaoy sao cho goc xot =50 do goc xoy=130do
A tinh so do goc toy. B ve tia om la tia doi phan giac cua goc toy chung to om vuong goc voi ox
