# Geometry

1. Geometric Relationships
1. Lines and Planes
2. Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids
3. Polygons – Interior and Exterior Angles
2. Constructions
1. Constructions: Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral
2. Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors
3. Locus
1. The Basic Locus Theorems
2. Compound Loci
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
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
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