



SIDE
 SIDE  SIDE



If the
length of each side of one triangle 


is the
same as the length of a corresponding side of another triangle, 


the
triangles are congruent. 











SIDE 
ANGLE  SIDE 


If the
length of two sides and the angle between them 


in one
triangle are the same as the length of two sides 


and the
angle between them in another triangle, 


then the
triangles are congruent. 











ANGLE
 SIDE  ANGLE 


If two
angles and the side between them in one triangle 


are the
same size as two angles and the side between them 


in
another triangle, 


then the
triangles are congruent. 











ANGLE
 ANGLE  SIDE 


If two
angles and the side not between them in one triangle 


are the
same size as two angles and a side not between them 


in
another triangle, 


then the
triangles are congruent. 











Hypotenuse
 Leg 


There is
no such theorem as SIDE SIDE ANGLE. 


What we
DO HAVE is the Hypotenuse Leg Theorem. 


The word
hypotenuse means we are talking about right triangles. 


That
means that each of the triangles has a 90 degree angle. 


The
hypotenuse is the side across from the 90 degree angle. 


A leg is
either of the other two sides. 


The
theorem goes: 





If the
hypotenuse and one leg of one triangle 


are the
same measure as the hypotenuse and one leg 


of the
other triangle, 


then the
triangles are congruent. 











copyright 2005 Bruce Kirkpatrick 
