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Geometry Syllabus

  1. The Basics
    • 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
  2. Congruent Triangles
    • 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
  3. Properties of Triangles
    • Angle bisectors
    • Medians
    • Centroid
    • Triangle Inequality Theorem
    • Inequalities in one triangle
  4. Quadrilaterals and Polygons
    • 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
  5. Similarity
    • Solving proportions
    • Similar polygons
    • Similar triangles
    • Similar right triangles
    • Triangles and parallel lines
    • Proportional parts and parallel lines
  6. Right Triangles
    • The Pythagorean Theorem
    • The converse of The Pythagorean Theorem
    • Multi-step Pythagorean Theorem problems
    • Special right triangles
    • Multi-step special right triangle problems
  7. Trigonometry
    • Finding trig. ratios
    • Finding angle measures
    • Solving for sides of right triangles
    • Multi-step trig. problems
    • Trigonometry and area
  8. Surface Area and Volume
    • 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
  9. Circles
    • 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
  10. Transformations
    • Translations
    • Rotations
    • Reflections
  11. Constructions
    • 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

Stay-Ahead™ Reading

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Writing

  • Novice (6th Grade)
  • Intermediate (7th Grade)
  • Proficient (8th Grade)
  • Advanced (9th Grade)
  • Superior (10th Grade)

Stay-Ahead™ Mathematics

  • Mathematics Core
  • Pre-Algebra
  • Algebra 1
  • Algebra 2
  • Geometry

Standardized Tests

  • SAT
  • PSAT
  • DukeTIP SAT
2011 Geometry. SAT is a registered trademark of the College Board, which was not involved in the production of, and does not endorse, this product. ACT is a registered trademark of ACT, Inc. PSAT/NMSQT is a trademark jointly owned by the College Board and the National Merit Scholarship Corporation, which were not involved in the production of, and do not endorse, this product. None of the trademark holders are affiliated with Ramana Coaching Center or this website.
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