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bearn
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MHB Proving Two Triangles are Congruent
- Thread starter bearn
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Two triangles are congruent if they meet specific conditions: Side-Angle-Side (SAS), Side-Side-Side (SSS), and Angle-Side-Angle (ASA). The discussion emphasizes using the SSS condition to demonstrate congruence by finding equal corresponding sides. Additionally, supplementary angles can be utilized to establish congruence in another triangle. The focus is on applying these principles to prove triangle congruence effectively. Understanding these conditions is essential for solving geometric problems involving triangles.
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What are the three conditions for two triangles to be congruent?
-Dan
-Dan
- #3
bearn
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SAS, SSS and ASA?topsquark said:
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Good! Now, try for SSS on the first one. Is there any way you can show that BN = GI? For the second one, do the same trick but now you have a couple of supplementary angles to work with. Give it a try.bearn said:
-Dan
Obviously, there is something elementary I am missing here.
To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix
in the real plane; taking the transpose we get
which then corresponds to a-bi...
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