Honors Geometry Unit 4 Notes

The goal is to develop students ability to work with segments and angles and properties that arise from these ideas. Students should be able to further develop basic proof techniques, work with parallel and perpendicular lines, both geometrically and algebraically.

Day 1

• Introduce slope, parallel and perpendicular lines algebraically.
• Transition to geometric ideas.
  • Remind the ideas of point, line, segment, and plane.
  • Introduce parallel, perpendicular, skew, and coplanar on a plane.
  • Introduce (Remind)
    • Transversal
    • Ray
    • Angle
    • Vertex
    • Collinear
    • Complementary
    • Supplementary
    • Congruent
    • Linear Pair
    • Adjacent angles
    • Vertical angles
    • Alternate interior angles
    • Same side interior angle
    • Consecutive interior angle
    • Corresponding angles

Day 2

• Angle chase practice
• Introduce basic constructions
  • Straightedge for lines
    • Perpendicular Bisector
  • Compass for circles
    • Circles are the set of points equidistant from some point called the center.
  • Construct an equilateral triangle

Day 3

• Prove vertical angles are congruent.
• Prove Alternate interior angles are congruent.
• etc.