Ai giỏi hình thì giúp mình nhé
Cho tam giác ABC. Phía ngoài tam giác dựng hình vuông BCGF và AHCI.Gọi O,A',B' lần lượt là trung điểm AB,BG,AH. CM
1) AG=BH
2) AG vuông góc vs BH
3) OA'B' vuông cân
Giúp minh nhé ?thanks
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a) Phép quay tâm C góc 90 ο biến MB thành AI. Do đó MB bằng và vuông góc với AI. DP song song và bằng nửa BM, DO song song và bằng nửa AI. Từ đó suy ra DP bằng và vuông góc với DO.
b) Từ câu a) suy ra phép quay tâm D, góc 90 ο biến O thành P, biến A thành Q. Do đó OA bằng và vuông góc với PQ.