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Triangle Theorem

Triangle Theorem 1: ASA

If Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image004.gifand Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image005.gifandDescription: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image006.gif

Then Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image007.gifare congruent

There’s only 1 line parallel to AB from E, similarly only 1 line parallel to CA from F.

Therefore these 2 triangles are congruent due to uniqueness property

Triangle Theorem 2: SAS

If Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image009.gifandDescription: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image010.gif

Then Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image007.gifare congruent

Triangle Theorem 3: SSS

If Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image009.gifand Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image012.gif

Then Description: Description: http://unitedthc.com/TUT/Geometry/geometry_files/image007.gifare congruent