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Congruent triangles
Posted:
Dec 6, 1999 11:49 PM
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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 included angle is smaller than the opposite 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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