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A theorem to prove. A series of logical statements. A series of reasons for the statements. answer theorem to prove
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
Yes, the corollary to one theorem can be used to prove another theorem.
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA
You cannot solve a theorem: you can prove the theorem or you can solve a question based on the remainder theorem.
HL congruence theorem
LEGS
A theorem to prove. A series of logical statements. A series of reasons for the statements. answer theorem to prove
Excuse me, but two triangles that have A-A-S of one equal respectively to A-A-S of the other are not necessarily congruent. I would love to see that proof!
reflexive property of congruence
You left out one very important detail . . . the statement is true for a RIGHT triangle.
It does not necessarily prove congruence but it does prove similarity. You can have a smaller or bigger triangle that has the same interior angles.
Yes, the corollary to one theorem can be used to prove another theorem.
It is a theorem, not a postulate, since it is possible to prove it. If two angles and a side of one triangle are congruent to the corresponding angles and side of another triangle then the two triangles are congruent.
There are three main ways to prove to triangles congruent. If all the sides match, if a side then an included angle and the next side and last angle-side angle. SSS, SAS. ASA
Theorem 8.11 in what book?
The first thing you prove about congruent triangles are triangles that have same side lines (SSS) is congruent. (some people DEFINE congruent that way). You just need to show AAS is equivalent or implies SSS and you are done. That's the first theorem I thought of, don't know if it works though, not a geometry major.