Geometry Syllabus

  • Line segments and their measures
  • Angles and their measures
  • Classifying angles
  • Angle terminology
  • Angle Addition Postulate
  • Angle relationships
  • Geometric diagrams and notation
  • Parallel Lines and the Coordinate Plane
  • Parallel lines and transversals
  • Proving lines parallel
  • Points on the coordinate plane
  • The Midpoint Formula
  • The Distance Formula
  • Slope and lines
  • Graphing linear equations
  • Writing linear equations
  • Angle bisectors
  • Medians
  • Centroid
  • Triangle Inequality Theorem
  • Inequalities in one triangle
  • Classifying triangles
  • Triangle angle sum
  • Exterior Angle Theorem
  • Triangles and Congruence
  • Proving triangles congruent: SSS and SAS
  • Proving triangles congruent: ASA and AAS
  • Right triangle congruence
  • Isosceles and equilateral triangles
• Classifying quadrilaterals • Angles in a quadrilateral • Properties of parallelograms • Properties of trapezoids • Area of triangles • Area of quadrilaterals • Polygon basics • Angles in polygons • Area of regular polygons
• Solving proportions • Similar polygons • Similar triangles • Similar right triangles • Triangles and parallel lines • Proportional parts and parallel lines
• Identifying solid figures • Volume of prisms and cylinders • Nets of prisms and cylinders • Surface area of prisms and cylinders • Volume of pyramids and cones • Nets of pyramids and cones • Surface area of pyramids and cones • Spheres • Similar solids
• The Pythagorean Theorem • The converse of The Pythagorean Theorem • Multi-step Pythagorean Theorem problems • Special right triangles • Multi-step special right triangle problems
• Identifying solid figures • Volume of prisms and cylinders • Nets of prisms and cylinders • Surface area of prisms and cylinders • Volume of pyramids and cones • Nets of pyramids and cones • Surface area of pyramids and cones • Spheres • Similar solids
• Translations • Rotations • Reflections
• Naming arcs and central angles • Measures of arcs and central angles • Arcs and chords • Circumference and area • Inscribed angles • Tangents • Tangent-tangent angles • Secant-tangent angles • Segment measures • Using equations of circles • Writing equations of circles
• Finding trig. ratios • Finding angle measures • Solving for sides of right triangles • Multi-step trig. problems • Trigonometry and area
• Line segment constructions • Perpendicular segment constructions • Angle constructions • Triangle constructions • Medians of a triangle constructions • Altitudes of a triangle constructions • Angle bisector constructions • Circle constructions
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