TRIANGLES

TRIANGLES

1. CLASSIFY TRIANGLES

   • ANGLES
     • ACUTE
     • OBTUSE
     • RIGHT
     • EQUIANGULAR
   • SIDES
     • EQUILATERAL
     • ISOSCELES
     • SCALENE
   • VERTEX, LEGS AND BASE

2. CONGRUENCE

   • SAME SHAPE (ANGLES)
   • SAME SIZE (SIDES)
   • CPCT: CORRESPONDING PARTS OF CONGRUENT TRIANGLES ARE CONGRUENT
   • AAS: ANGLE, ANGLE, SIDE
   • SAS: SIDE, ANGLE, SIDE
   • SSS: SIDE, SIDE, SIDE
   • ASA: ANGLE, SIDE, ANGLE

3. TRIANGLE ANGLE SUM THEOREM

   • <A + <B + <C =180º

4. TRANSFORMATION

   • REFLECTION
   • TRANSLATION
   • ROTATION

5. SPECIAL SEGMENTS

   • BISECTORS
     • PERPENDICUAR
       • CIRCUMCENTER
     • ANGLE
       • INCENTER
   • MEDIANS
     • CENTROID
   • ALTITUDES
     • ORTHOCENTER

6. INEQUALITIES

   • THE SUM OF THE LENGTHS OF ANY 2 SIDES OF A TRIANGLE MUST BE GREATER THAN THE LENGTH OF THE THIRD SIDE.
   • HINGE THEOREM

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