# Geometry

1. ## Geometric Relationships

1. Lines and Planes
2. Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids *
3. Polygons – Interior and Exterior Angles *
4. Multiple Choice Practice – Geometric Relationships (interactive & hardcopy)
2. ## Constructions

1. Constructions: Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral
2. Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors *
3. Multiple Choice Practice – Constructions (interactive & hardcopy)
3. ## Locus

1. The Basic Locus Theorems
2. Compound Loci
3. Multiple Choice Practice – Locus (interactive & hardcopy)
4. ## Informal and Formal Proof

1. Logic – Negation, Conjunction, Disjunction, Conditional , Biconditional, Truth
2. Related Conditionals — Converse, Inverse, Contrapositive
3. Writing a Proof – Direct Euclidean Proofs
4. Writing a Proof – Indirect Euclidean Proofs
5. Congruence of Triangles
6. Angles and Triangles
7. Isosceles Triangle Theorems
8. Triangle Inequality Theorems
9. Parallel Lines and Angles
11. Mid-Segment (Mid-Line) of a Triangle
12. Similarity of Triangles
13. Mean Proportional in a Right Triangle *
14. Pythagorean Theorem and Converse
15. Circles: Chords, Secants and Tangents
16. Circles: Angles and Arcs
17. Circles: Area of Sectors and Segments
18. Multiple Choice Practice – Triangles (interactive & hardcopy)
19. Multiple Choice Practice – Parallels and Quadrilaterals (interactive & hardcopy)
20. Multiple Choice Practice – Circles (interactive & hardcopy)
1. Why Study Proofs?
2. Notation
3. Vocabulary Resources
4. Theorem/Properties
5. ## Transformational Geometry

1. General “Transformation” Vocabulary for this Section
2. Symmetry – Line, Plane, Point, Rotational – Intuitive
3. Reflections – Line, Point
4. Translations *
5. Dilations and Similarity
6. Rotations
7. Review of Transformation Information
8. Compositions and Glide Reflections
9. Multiple Choice Practice – Transformations (interactive & hardcopy)
10. Opening in a new window …
11. Using the Graphing Calculator to Examine Reflections, Translations, Dilations *
12. Using the Graphing Calculator to Examine Rotations *
6. ## Coordinate Geometry

1. Slopes and Equations of Lines
2. Midpoint of a Line Segment
3. Distance Formula
4. Direct Analytic Proofs (Coordinate Geometry Proofs)
5. Linear – Quadratic Systems *
6. Circles
7. Multiple Choice Practice – Coordinate Geometry (interactive & hardcopy)