Parallel and Perpendicular Lines

Parallel and Perpendicular Lines

1. Coordinate Plane

   • Parallel lines have the same slopes
   • Perpendicular Lines have opposite reciprocal slopes
   • Writing the equation of a line
     • Slope Intercept Form:
       • y=mx+b
         • need to know:
           • slope (m)
           • y-intercept (b)
     • Point Slope Form
       • y-y1=m(x-x1)
         • need to know:
           • slope (m)
             • m=change in y/change in x
               • might come from altitude
           • any point (x1,y1)
             • might come from midpoint

2. Transversal Relationships

   • • corresponding angles (1&5, 2&6, 3&7, 4&8)
       • alt int angles (3&6, 4&5)
         • alt ext angles (1&8, 2&7)
           • consecutive int angles (3&5, 4&6)
             • Consecutive ext angles (1&7, 2&8)
     • IF lines m and n are parallel, then...
       • congruent
         • supplementary

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