# geometry

## 10th Grade Geometry Curriculum

Topics:
1. Geometric Relationships
• Lines and Planes
• Prisms, Pyramids, Cylinders, Cones, Spheres, Platonic Solids
• Polygons - Interior and Exterior Angles
2. Constructions
• Constructions: Copy, Bisect, Perpendicular, Parallel, Isosceles, Equilateral
• Concurrence of Medians, Altitudes, Angle Bisectors, Perpendicular Bisectors
3. Locus
• The Basic Locus Theorems
• Compound Loci
• Multiple Choice Practice - Locus (interactive & hardcopy)
4. Informal and Formal Proof
• Logic - Negation, Conjunction, Disjunction, Conditional, Biconditional, Truth
• Related Conditionals -- Converse, Inverse, Contrapositive
• Writing a Proof - Direct Euclidean Proofs
• Writing a Proof - Indirect Euclidean Proofs
• Congruence of Triangles
• Angles and Triangles
• Isosceles Triangle Theorems
• Triangle Inequality Theorems
• Parallel Lines and Angles
• Quadrilaterals
• Mid-Segment (Mid-Line)of a Triangle
• Similarity of Triangles
• Mean Proportional in a Right Triangle
• Pythagorean Theorem and Converse
• Circles: Chords, Secants and Tangents
• Circles: Angles and Arcs
• Circles: Area of Sectors and Segments