1. Given line l and point P, let’s construct a second line parallel to line l through point P. Worksheet 3-15: Constructing Parallel / Perpendicular Lines Name: ___________________________________________ Period: ______ Date: _________________ Steps: 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ 4. ___________________________________________________________________________ P Draw a new line m through P and line l and label Point A. From Points A and P, draw the same medium arc. Label Points B, C and B’. Copy  A to  P (measure from B to C, and draw a small arc from B and B’). Label C’ Draw a new parallel line n through P and C’! A B C B’ C’ l m n l P A m B C B’ C’ n Now, you try it again! Congruent Corresponding Angles!!!

1. Given line l and point P, let’s construct a 2nd line perpendicular to line l through point P. Steps: 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ P From P, draw an arc intersecting the line. Label Points A and B. From Points A and B, draw the same arcs intersecting at P. Label Points C. Draw a new perpendicular line n through P and C! AB l n Now, you try two more! C P m n

Student Handouts

1. Given line l and point P, let’s construct a second line parallel to line l through point P. Worksheet 3-15: Constructing Parallel / Perpendicular Lines Name: ___________________________________________ Period: ______ Date: _________________ Steps: 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ 4. ___________________________________________________________________________ P l l P

1. Given line l and point P, let’s construct a 2nd line perpendicular to line l through point P. Steps: 1. ___________________________________________________________________________ 2. ___________________________________________________________________________ 3. ___________________________________________________________________________ P l P m n