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## Lesotho Geometry Course

PROGRESSIVE SCIENCE INITIATIVE® (PSI®) - PROGRESSIVE MATHEMATICS INITIATIVE® (PMI®)

## Units (select a unit)

• ###### Points, Lines, and Planes
Intro to Geometry
Points & Lines
Planes
Congruence, Distance & Length
Constructions & Loci
• ###### Angles
Angles
Congruent Angles
Protractors
Special Angle Pairs
Introduction to Proofs
Proofs Special Angles
Angle Bisectors
Locus & Angle Constructions
Angle Bisectors & Constructions
• ###### Parallel Lines
Lines: Intersecting, Parallel & Skew
Lines & Transversals
Parallel Lines & Proofs
Properties of Parallel Lines
Constructing Parallel Lines
• ###### Triangles
Triangles
Triangle Sum Theorem
Exterior Angle Theorem
Inequalities in Triangles
Similar Triangles
- AA~
- SSS~
- SAS~
• ###### Similar Triangles & Trigonometry
Problem Solving w/ Similar Triangles
Similar Triangles & Trigonometry
Trigonometric Ratios
Inverse Trigonometric Ratios
Review of the Pythagorean Theorem
Converse of the Pythagorean Theorem
Special Right Triangles
• ###### Congruent Triangles
Congruent Triangles
Proving Congruence: SSS
Proving Congruence: SAS
Proving Congruence ASA
Proving Congruence AAS
Proving Congruence HL
Triangle Congruence Proofs
CPCTC
Isosceles Triangle Theorem
• ###### Circles
Parts of a Circle
Central Angles & Arcs
Chords, Inscribed Angles & Triangles
Tangents & Secants
Segments and Circles
• ###### Analytic Geometry
Origin of Analytic Geometry
Distance Formula
Midpoint Formula
Partitions of a Line Segment
Slopes of Parallel & Perpendicular Lines
Eq of Parallel & Perpendicular Lines
Triangle Coordinate Proofs
Equation of a Circle & Completing the Square
• ###### Transformations
Transformations
Translations
Reflections
Rotations
Identifying Symmetry w/ Transformations
Composition of Transformations
Congruence Transformations
Dilations
Similarity Transformations
Polygons
Properties of Parallelograms
Rhombi, Rectangles & Squares
Trapezoids
Kites
Proofs
Coordinate Proofs
• ###### Area of Figures
Area of Rectangles
Area of Triangles
Law of Sines
Area of Parallelograms
Area of Regular Polygons
Area of Circles & Sectors
Area and Perimeter of Figures in the Coordinate Plane
• ###### 3D Geometry
Intro to 3-D solids
Views & Drawings of 3-D Solids
Surface Area of Prisms, Cylinders, Pyramids & Cones
Volume of Prisms Prisms, Cylinders, Pyramids & Cones
Surface Area & Volume of Spheres
Cavalieri’s Principle
Similar Solids
• ###### Probability
Probability of Simple Events
Probability & Length
Probability & Area