Triangles

Triangles

1. CLASSIFICATIONS

   • Angle
     • Obtuse
       • >90 degrees
     • Right
       • =90 degrees
     • Acute
       • <90 degrees
   • Side
     • Scalene
       • All sides different lengths
     • Isosceles
       • 2 sides same lenght
     • Equaliteral
       • All sides same length

2. BASICS

   • Interior Angles sum = 180 degrees

3. CONGRUENCE

   • SAS
     • Side Angle Side
       • Same 2 Sides and Same 1 Angle are Congruent
         • Angle BETWEEN SIdes
   • SSS
     • Side Side Side
       • All same Sides Congruent
   • ASA
     • Angle Side Angle
       • 2 same Angles Congruent 1 same Side congruent
         • Side BETWEEN Angles
   • AAS
     • Angle Angle Side
       • 2 same angles and 1 same sidecongruent
   • RIGHT TRIANGLE
     • HL
       • Hypotenuse Leg
         • Hypotenuse and one leg congruent on both triangles
     • LL
       • Leg Leg
         • 2 Legs Congruent
     • HA
       • Hypotenuse Angle
         • Hypotenuse and 1 angle congruent
   • Isosceles
     • 2 sides of an isosceles triangle congruent = angles at base are congruent
       • 2 angles at base congruent = 2 legs congruent

4. Congruence PT 2

   • Mid Point Theorm
     • • Mid point = 1/2 of AB

5. Side Splitter Theorem

   • "if a line is parallel to a side of a triangle and intersect the other two sides, then this line divides those two sides proportionally."
   • Proportions
     • Solve = Cross Multiply
       • EXAMPLE: 8/36 = 10/n
         • 8xn = 36x10
           • 8n = 360
             • N = 45 so 10/45

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