Geometry Description Mathematical reasoning skills developed in previous courses provide a solid foundation for understanding proof and logic in Geometry. A study of analytical geometry is weaved throughout this course, highlighted by a study of transformations in the plane. The concept of area is also weaved throughout, with a discussion of the areas of many different geometric objects. Previous knowledge of angles and angle pairs is used to prove important results about the congruence of angles. A construction of the angle bisector is explored. Triangles, quadrilaterals, and polygons are classified and important results are proven. The triangle congruence theorems are explored in depth and used to prove two triangles congruent. The concepts of ratio and proportion are applied in the study of similar polygons. This leads to a discussion of special right triangles, and the Pythagorean theorem. Different proofs of the Pythagorean theorem are explored. The concept of a ratio is necessary for the study of the trigonometric ratios and their relationship to right triangles. Connections among shapes and their properties are made in the study of circles, including an exploration of how polygons, lines, and circles interact. Finally, the concept of shape is expanded to three dimensions, with special focus on the study of prisms, pyramids, and cylinders. The concept of function is revisited in the study of the formulas for volume and surface area.
Units- Triangles and Triangle Congruence
- Right Triangle Trigonometry