High School Geometry Fundamentals

This 8-week program is designed to bridge the fundamental gaps and lay a firm foundation of essentials upon which the student’s Geometry course will build on next school year.

Week 1 - Basics of Geometry

Basic Geometry Definitions
- Point, line, line segment, ray, angle, plane, angle classifications, complementary & supplementary, intersecting lines, parallel lines, perpendicular lines, vertical angles
Practice Problems on Identifying Basic Geometry Definitions
- Notation for points, lines, line segments, rays, and angles
- Angle identification and classification
- Complementary and Supplementary
- Intersecting, parallel, and perpendicular
- Vertical and adjacent angles

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Week 2 - Angle Relationships

Basic Angle Relationships
- Angle Pair Relationships
  - Straight
  - Adjacent
  - Linear Pair
  - Complementary
  - Supplementary
  - Vertical
- Angle Addition Postulate
Special Angle Relationships
- Parallel Lines Cut By a Transversal
  - Vertical
  - Corresponding
  - Alternate Interior
  - Alternate Exterior
  - Co-interior
  - Co-exterior

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Week 3 - Triangles Part 1

Classifying Triangles
- Acute
- Obtuse
- Right
- Straight
- Equilateral
- Isosceles
- Scalene
Triangle Angle Sum
Exterior Angle Theorem
Triangle Congruence
- Side-Side-Side (SSS)
- Side-Angle-Side (SAS)
- Angle-Side-Angle (ASA)
- Angle-Angle-Side (AAS)
- Hypotenuse-Leg (HL)

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Week 4 - Triangles Part 2

Properties of Triangles
- Midsegment
- Angle Bisectors
- Medians
- Centroid
- Triangle Inequality Theorem
Similar Triangles
Pythagorean Theorem

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Week 5 - Quadrilaterals and Polygons

Classification
- Convex
- Concave
- Equilateral
- Equiangular
- Cyclic
- Regular
Angles
- Polygon Interior Angle Theorem
- Polygon Exterior Angle Theorem
- Quadratic Interior Angle Theorem
Properties
- Finding Angle and Side Length Measurements

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Week 6 - Area, Surface Area, Volume & Similarity

Area of Quadraliterals and Polygons
Identifying Solid Figures
Volume
- Prisms and Cylinders
- Pyramids and Cones
- Spheres
Surface Area
- Prisms and Cylinders
- Pyramids and Cones
- Spheres

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Week 7 - Circles

Basic Definitions
- Arcs
- Central Angles
- Chords
- Diameter
- Radius
Circumference and Area
Inscribed Angles
Tangents to Circles
Secant Angles

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Week 8 - Transformations

Rigid Transformations
- Translations
- Rotations
- Reflections
Similarity Transformation
- Dilation
Composition of Transformations

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