High school geometry

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High school geometry

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