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FW: Congruent triangles Revisited. With corrections from previous nonsense post.
Posted:
Dec 7, 1999 2:26 AM
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Sorry. I really screwed up the previous post about SSA. I have corrected it
here, I think.
> -----Original Message-----
> From: Benson-John [mailto://jbens@casbah.acns.nwu.edu]
> Sent: Monday, December 06, 1999 10:49 PM
> To: geometry-pre-college@mathforum.com
> Subject: Congruent triangles
>
> Actually, there is an angle, side side congruence relationship. I do not
> think it is a postulate, I think it is a theorem. It is angle, small
> side, large side. If the SIDE adjacent to the angle is smaller than
> the SIDE opposite to the angle angle, or congruent to it, then the
> triangles must be congruent because the opposite side cannot "swing" under
> the angle to form two triangles. Hypotenuse leg is a special case of the
> theorem. I always teach this to my students and then ask them why they
> think it is not included in the text. I have found it useful in at least
> one quite difficult problem I was trying to solve.
>
>
>
> John Benson
> Evanston Township High School 715 South Boulevard
> 1600 Dodge Avenue Evanston Il 60202-2907
> Evanston IL 60204 847) 328-8019 (phone & fax)
> (847) 424-7600 (847) 226-7713 ( cell)
>
>
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