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You are not logged in. #1 20130325 23:56:49
SideAngleSideYesterday, our prof. asked me to name the criterion for triangle congruences which I did. Then he asked me to provide the proof for them which I also did (except SAS of coufrse). He then scolded me and replied that there is a proof for SAS. Until then I was pretty sure that it was an axiom which we use to prove the other criterias. Last edited by Shivamcoder3013 (20130326 00:59:05) I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #2 20130326 00:11:06
Re: SideAngleSideSo I was just wondering, is there a proof to SAS? I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #4 20130326 00:30:53
Re: SideAngleSideWell isn't SAS just an axiom? How do you prove that: If 2 sides and angles in a triangle are congruent to two sides and angles of another triangle, the triangles are congruent. Like take 2 triangles: ABC, DEF. If AB=DE, AC=DF and angle A = angle D, the triangles ABC and DEF are congruent. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #5 20130326 00:39:32
Re: SideAngleSideMy difficulty is I have never seen any proved so I'm not sure where to start. That's why I need to see one that you have already done. Then I can see what you are after. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #6 20130326 00:46:01
Re: SideAngleSideI have found this: http://www.proofwiki.org/wiki/Triangle_ … ity#Part_1. The limit operator is just an excuse for doing something you know you can't. “It's the subject that nobody knows anything about that we can all talk about!” ― Richard Feynman “Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment #7 20130326 00:47:35
Re: SideAngleSideMy difficulty is I have never seen any proved so I'm not sure where to start. That's why I need to see one that you have already done. Then I can see what you are after. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #8 20130326 00:51:41
Re: SideAngleSideFor example, to prove SideSideSide, using SideAngleSide, we just make two triangles such that they make a kite (being diagonal). That proves that the triangles are congruent. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #9 20130326 00:52:46
Re: SideAngleSidethanks Stefy You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #10 20130326 00:54:48
Re: SideAngleSideOh okay then. So because the sides and angles coincide (ABC and DEF) making them congruent, that would be a valid proof for SideAngleSide? Anyways, thankyou both. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #11 20130326 00:56:37
Re: SideAngleSide
Why does it prove that? You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #12 20130326 00:58:40
Re: SideAngleSideWell if we have a perpendicular bisector as the diagonal, then by SAS we can see that they are congruent. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #13 20130326 01:09:12
Re: SideAngleSideProve 'perpendicular'. You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #14 20130326 01:12:18
Re: SideAngleSideCheck this out. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #15 20130326 01:33:49
Re: SideAngleSideThanks. And that uses SAS (axiomatic) to prove the others. Hhhhmm! You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei #16 20130326 01:41:48
Re: SideAngleSideYes, so it is congruent because it coincides. Thankyou both. I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann #18 20130326 02:42:56
Re: SideAngleSideGlad to see that we both were clarified. Last edited by Shivamcoder3013 (20130326 02:43:28) I have discovered a truly marvellous signature, which this margin is too narrow to contain. Fermat Give me a lever long enough and a fulcrum on which to place it, and I shall move the world. Archimedes Young man, in mathematics you don't understand things. You just get used to them.  Neumann 