Key to Geometry, Book 7: Perpendiculars and Parallels, Chords and Tangents, Circles

by Newton Hawley Author

(From Amazon): Key to Geometry offers a non-intimidating way to prepare students for formal geometry as they do step-by-step constructions. Using only a pencil, compass, and straightedge, students begin by drawing lines, bisecting angles, and reproducing segments. Later they do sophisticated constructions involving over a dozen steps and are prompted to form their own generalizations. When they finish, students have been introduced to 134 geometric terms and are ready to tackle formal proofs. Book 7 includes three comprehensive chapters which cover perpendiculars and parallels, chords and tangents and circles. Student workbook, consumable student will also need a compass, a straight edge and a sharp pencil.Pages: 154, PaperbackPublisher: Key Curriculum Press


Additional Details

Resource Type
Print Status
In Print
Suggested Grades
9th - 10th
Key Curriculum Press


  • 1 comparing angles- the sides and angles of a triangle
  • 2 The Isosceles triangle- reiveiw
  • 3 the isosceles triangle- the perpendicular bisector of the base of a triangle
  • 4 a triangle- the bisector of an angle of a triangle
  • 5 perpendicular lines- parallel lines
  • 6 the perpendicular to a line from a point- constructing parallel lines
  • 7 corresponding angles- review
  • 8 alternate interior angles- review
  • 9 the parallelogram- properties of a parallelogram
  • 10 the rhombus- review
  • 11 the midpoints of a quadrilateral- review
  • 12 the sum of angles- constructing the sum of angles
  • 13 the exterior angles of a triangle- the sum of exterior angles...
  • 14 the sum of the exterior angles of a polygon- the sum of the angles of a triangle
  • 15 practice test
  • 16 The chord of a circle- review
  • 17 constructing a circle through the endpoints- the tangent to a circle
  • 18 constructing a circle tangent to a line- review
  • 19 tangent circles
  • 20 practice test
  • 21 correct test
  • 22 circimscribing a cirle about a triangle- drawing a circle through 3 points
  • 23 review
  • 24 circumscribing a cirle about a polygon- review
  • 25 inscribing a square in a circle- inscribing a hexagon in a circle
  • 26 inscribing a regular pentagon in a circle- review
  • 27 inscribing a circle in a regular polygon
  • 28 practice test
  • 29 correct test

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