Geometry Congruent Triangle Theorem
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Deja Vu
Congruent Triangle Theorem

 

 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

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