Constructing and Perpendicular Lines

1
Constructing // and Perpendicular Lines

• 7.3

2
Construction 5// through a point not on a line

• Step 1 Label two points H and J on L and draw
  HN
• Step 2 Construct lt1 with a vertex at N so that
  mlt1 ltjhn and the two angles are corresponding
  lts

• Explain why the tow lines are //
• If corresponding lts then lines are //

3
Construction 6Perpendicular through a point on a
line

• Given Point P on line L
• Step 1 Place the Compass tip on P and draw arcs
  intersecting L in two points. Label Points B and
  B
• Step 2 Open compass wider and with tip on A
  draw an arc above point P
• Step 3 w/o changing compass setting place tip
  on b and intersect previous arc
• Step 4 Label intersection C and draw CP

4
Construction 7Perpendicular through a point not
a line

• Given line L and a point R not on line L
• Step 1-Open compass to greater distance than R to
  L and draw arc that intersects L at two points.
  Label points E and F
• Step 2 Keep same setting and place tip on E and
  make an arc
• Step 3 repeat process on point F and label
  intersection g
• Step 4 Draw GR

5
Homework

• P. 380 1,2,3a,7-15,18,21-25