Geometry

Geometry Overview

Congruence

  • Experiment with transformations in the plane
  • Understand congruence in terms of rigid motions
  • Prove geometric theorems
  • Make geometric constructions

Similarity, Right Triangles, and Trigonometry

  • Understand similarity in terms of similarity transformations
  • Prove theorems involving similarity
  • Define trigonometric ratios and solve problems involving right triangles
  • Apply trigonometry to general triangles

Circles

  • Understand and apply theorems about circles
  • Find arc lengths and areas of sectors of circles

Expressing Geometric Properties with Equations

  • Translate between the geometric description and the equation for a conic section
  • Use coordinates to prove simple geometric theorems algebraically

Geometric Measurement and Dimension

  • Explain volume formulas and use them to solve problems
  • Visualize relationships between two-dimensional and three-dimensional objects

Modeling with Geometry

  • Apply geometric concepts in modeling situations