High school geometry

Categories: Geometry, Mathematics
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Course Content

Geometry foundations

  • Intro to Euclidean geometry
  • Euclid as the father of geometry
  • Terms & labels in geometry
  • Lines, line segments, & rays
  • Specifying planes in three dimensions
  • Geometric definitions example
  • Angles
  • Measuring angles in degrees
  • Measuring angles using a protractor
  • Measuring angles using a protractor 2
  • Acute, right, & obtuse angles
  • Vertical angles
  • Equation practice with vertical angles
  • Complementary & supplementary angles
  • Equation practice with complementary angles
  • Equation practice with supplementary angles
  • Angles, parallel lines, & transversals
  • Parallel & perpendicular lines
  • Missing angles with a transversal
  • Measures of angles formed by a transversal
  • Proving angles are congruent
  • Polygons
  • Angles in a triangle sum to 180° proof
  • Triangle exterior angle example
  • Worked example: Triangle angles (intersecting lines)
  • Worked example: Triangle angles (diagram)
  • Triangle angle challenge problem 2
  • Sum of interior angles of a polygon
  • Sum of the exterior angles of a polygon
  • Triangle inequality theorem
  • Intro to quadrilateral
  • Quadrilateral properties
  • Kites as a geometric shape
  • Quadrilateral types
  • Proof: Opposite sides of a parallelogram
  • Proof: Opposite angles of a parallelogram
  • Area
  • Perimeter & area
  • Area of a triangle
  • Area of a parallelogram
  • Area of trapezoids
  • Area of kites
  • Area of a triangle on a grid
  • Area of a quadrilateral on a grid
  • Area of composite shapes
  • Perimeter & area of composite shapes
  • Challenge problems: perimeter & area
  • Radius, diameter, circumference & π
  • Area of a circle
  • Radius & diameter from circumference
  • Area of a circle intuition
  • Intro to nets of polyhedra
  • Surface area using a net: rectangular prism

Transformations

Congruence

Similarity

Right triangles & trigonometry

Solid geometry

Analytic geometry

Circles

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