Geometry

Course Goals

• Prove geometric theorems using a variety of proof methods.
• Complete geometric constructions using a variety of tools.
• Find distance between points, slopes of lines, and midpoints of line segments.
• Perform transformations on and off the coordinate plane.
• Describe congruence in terms of rigid motions.
• Describe similarity in terms of similarity transformations.
• Prove theorems involving congruence and similarity.
• Apply geometric concepts to solve real-world and mathematical problems.
• Prove the converse of the Pythagorean theorem and the laws of sines and   cosines.
• Prove and apply circle properties and relationships.
• Construct inscribed and circumscribed circles and tangent lines.
• Derive the equation of a circle or parabola on the coordinate plane.
• Measure and describe plane and solid figures using perimeter, area, surface area, and volume.
• Calculate probabilities and apply probability concepts to establish independence and make decisions.
• Apply geometric and trigonometric concepts to solve real-world and mathematical problems.