Cho tam giac ABC .goc A {90* . tren nua mat phang bo AB ko chua diem C, ve Ax vuomg goc voi AB, tren do lay D sao choAD=AB .tren nua mat phang bo AC, ko chua diem B ,ve Ay tren do lay E sao cho AE=AC a cmr BE=CD b duong thang AC va ED co vuong goc voi nhau ko?

Cho tam giac ABC co goc A < 90^o ; AB = AC; AM la tia phan giac cua goc A (M thuoc BC)

a. CM goc B bang goc C

b. Tren cung mot nua mat phang bo AB khong chua diem C ke tia Ax vuong goc voi AB, tren nua mat phang bo AC khong chua diem B ke tia Ay vuong goc voi AC. Tren tai Ax va Ay lan luot lay 2 diem N va P sao cho AN=AP. CM rang BP=CN

c.CM NP song song voi BC

Cho tam giác ABC co A nho hopn 90 do . Tren nua mat phang bo AB khong chua diem C, ve doan thnag AD vuong goc Ab va AD=AB.Tran nua mat phang bo ac khong chua B, ve doan thnag Ae vuong goc AC va ae= AC. Goi F la trung diem cua BC. Chung minh 

a. D,A,E khong thang hang va  BA khong vuong goc voi DE

cho tam giac ABC vuong tai A. ke duong cao AH. tren nua mat phang bo ab khong chua h ve tia Ax sao chogoc BAH=BAx. goi tia Ay la tia doi Ax. veBD, CE vuong goc voi xy (D,E thuoc xy). Cm:

a)AC la tian phan giac goc MAy

b)BD+CE=BC va A la trung diem DE

c)HD vuong goc voi HE 

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

Cho duong thang xy di qua diem O. Ve tia Oz sao cho xÔz bang 135 do . Tren nua mat phang bo xy khong chua tia Oz ve tia Ot sao cho yÔt bang 90 do. Goi Ov la tia phan giac cua xÔt 

A) Chung to rang Oz va Ov la hai tia doi nhau.

B) Cac goc xÔv va yÔz co phai la hai goc doi dinh khong. Vi sao 

cho tam giac ABC co goc A bang 90 do.ke AH vuong goc voi BC (H thuoc BC ).tren duong thang vuong goc voi BC tai B lay diem D ( D khong cung nua mat phang bo BC chua diem A ) sao cho BD=AH

chung minh rang Ab song song voi DH

biet BAH =35 do ,tinh so do goc ACB

Tren duong thag a lay ba diem A,O,A'(O nam giua A va A').Ve tia OB sao cho  AOB=45°,tren nua mat phang co bo la duong thang a khong chua tia OB ve tia OC sao cho AOC=90°

a.Goi OB' la tia phan giac cua goc A'OC.Chung minh rang:hai goc AOB va A'OB' la hai goc doi dinh

b,Tren nua mat phang co bo la duong thang a chua tia OB ve tia OD sao cho BOD=90°.Tinh so do goc A'OB'

Cho tam giac ABC vuong can tai A, D la mot diem bat ki tren canh AB. Tren nua mp bo AB co chua diem C, ve tia?

mat phang bo AB co chua diem C, ve tia Bx de goc ABx=135 do. Duong thang vuong goc vs Dc ve tu D cat tia Bx tai E. Chung minh tam giac DEC can

giups mk