and Perpendicular Pair. Bisectors of Two Angles That Form a Linear Pair. Angle Bisector (Characterization).
Circle (Radius, Diameter, Chord). Triangle: Medians and the Centroid. Isosceles Triangle. More About the
Isosceles Triangle. Angle Inscribed in a Semicircle. Altitude, Median, and Angle Bisector of a Triangle. Parallel
Lines and Angles. Triangle Sum. Equilateral Triangle and a Curiosity. Perpendicular Bisectors: Circumcenter and
Circumcircle. Three Points Determine a Circle (sometimes). Triangle: Altitudes and the Orthocenter. Pedal
Triangle of a Point and a Triangle. Angle Bisectors: Incenter and Incircle. Midsegments and the Medial Triangle.
Tangents to a Circle. Trisecting a Segment. Hinges. Geometric Mean. Animation and Locus. Right Triangle;
Making a Table. Using a Table to Make Conjectures. Arc Measure Macro. Inscribed Angle and Angle Formed by
Two Chords. Angle Formed by Two Secants or a Secant and a Tangent. Angle Formed by a Tangent and a
Chord or by Two Tangents. Steiner's Power of a Point / Chord-Chord. Steiner's Power of a Point / Secant-Secant
/ Secant-Tangent. Equilateral Triangle and Square. Parallelogram. Isosceles Trapezoid. Rectangle. Rhombus.
Kite. Cyclic Quadrilateral. Varignon Quadrilateral. Curiosity of an Isosceles Triangle, Rectangle, Isosceles
Trapezoid. Pythagorean Theorem. Midvexes of a Parallelogram. Perpendicular and Parallel Angles. Intersecting
Circles. Parallel Lines and Proportions. Parallel Through a Side of a Triangle or Through a Circle. Angle Bisector
of a Triangle. The Nine-Point Circle. Trisection Polygons. A Maximum and a Minimum in One Problem. Midvex of
a Parallelogram and Isosceles Triangle. Tangents to Two Circles. Angle Bisector Revisited. Triangles with
Parallel Sides (Homothecy). Distance From a Point to a Line (Circle Triangle) to a Point. Dilations (Homothecy
Revisited). Similar Triangles Are Everywhere. Trigonometric Tables. The Medial Triangle Revisited (Homothecy).
The Euler Line. Circumcircles, Reflections, and (...). Antipedal Point and Triangle. Harmonic Conjugates.
Menelaus. Ceva. Menelaus, Ceva, and Harmonic Conjugates. Quadrilateral and Harmonic Conjugates. Pappus.
Desargues. Pascal's Mystic Hexagram. Miquel. Carnot. Centroids Galore and What Point Is It Anyway? Wallace
Line. Tritangent Circles. Gergonne. Nagel. Feuerbach: The Tritangent Circles and the Nine-Point Circle. Isotomic
and Isogonal Conjugates. Bisectors of Interior and Exterior Angles of a Triangle. Maltitudes, Diacenter, and
Medcenter. Cyclic Quadrilateral Curiosities. Butterfly. Brocard Points. Orthocenter and Circumcenter. Orthocenter
Revisited. Teacher Information. References.
Geometrical Investigations for the Classroom on the TI-92
Charles Vonder Embse, Arne Engebretsen, Texas Instruments, 1996, ISBN 1-886309-04-3
(TI Explorations series, high school geometry, $16.00)
"The explorations in this book are intended to promote an environment of inquiry through thought
provoking, open-ended problems. There is no intended order of topics. Any exploration can be used
where it fits into your program. There is no suggested time for an exploration. Some students may think
about a given problem for weeks or months, coming up with new insights and interconnections as they
consider other problems. It may be appropriate to present one exploration, or part of one, each grading
period as a group or individual project.
"No matter how you use these activities, the emphasis should be on exploration - trying anything and
everything that comes to mind. Once the discoveries are made, ask students to explain why they are
true. Depending on the level of the students, these explanations could be anything from statements of
the findings to detailed proofs. But remember, like real mathematics in the making, proof should be the
final step in the discovery process, not the first."
Contents: Investigating Properties of Kites. Investigating Properties of Trapezoids. Investigating Properties of the
Diagonals of Quadrilaterals. The Orthocenter of a Triangle. Cyclic Quadrilaterals. Tessellations and Tile Patterns.
Polygons and Vectors. The Simson Line. Investigating Properties of Lines in the Plane. Construction Tools:
Interactive Function Graphs.
Geometry Explorations and Applications, Activities for the TI-81, TI-82 and TI-92 Calculators
McDougal Littel Publishing
Skill and Practice Masters in Geometry Using the TI-92
David P. Lawrence, Pencil Point Press, Inc., ISBN 1-58108-020-4
B - 39
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