本區搜索:
Yahoo!字典

# [Core] SSA triangles

[隱藏]

## SSA triangles

(a) In triangles ABC and DEF, it is given that ∠A=∠D and AB=DE=BC=EF.
(i) A student claims that "there is insufficient information to determine whether triangles ABC and DEF are congruent". Do you agree? Explain your answer.
(ii) In triangle OPQ with in-centre I (ie. ∠OPI=∠QPI) and circumcentre J (ie. OJ=PJ=QJ), it is given that P, I and J lies on a straight line. Show that OP=QP.

(b) In triangles ABC and DEF, it is given that ∠A=∠D≥90o, AB=DE and BC=EF.
(i) Show that sin∠C=sin∠F
(ii) A student claims that "there is insufficient information to determine whether triangles ABC and DEF are congruent". Do you agree? Explain your answer.

(c) In triangles ABC and DEF, it is given that ∠A=∠D and AB=DE≤BC=EF.
(i) Show that ∠C≤∠A<180o-∠C.
(ii) A student claims that "there is insufficient information to determine whether triangles ABC and DEF are congruent". Do you agree? Explain your answer.

[ 本帖最後由 桃子 於 2016-5-29 01:55 PM 編輯 ]

TOP

 重要聲明:小卒資訊論壇 是一個公開的學術交流及分享平台。 論壇內所有檔案及內容 都只可作學術交流之用，絕不能用商業用途。 所有會員均須對自己所發表的言論而引起的法律責任負責(包括上傳檔案或連結)， 本壇並不擔保該等資料之準確性及可靠性，且概不會就因有關資料之任何不確或遺漏而引致之任何損失或 損害承擔任何責任(不論是否與侵權行為、訂立契約或其他方面有關 ) 。