2 semesters, 1 credit

**Open to sophomores and juniors****Prerequisites:** Minimum grade of C in 410 Algebra I and/or teacher approval

In Geometry, students will learn how geometric shapes relate to our world. They will develop logic and reasoning skills through writing two-column proofs. Students will study various topics such as congruent triangles, properties of parallel lines, polygons, similar triangles, Pythagorean theorem, right triangle trigonometry, transformations, and circles. **A TI-84 graphing calculator is required for this class.**

By the completion of this course, students will be able to…

- Correctly use the symbols, definitions, properties, postulates, and theorems of geometry in proofs and application problems.
- Write proofs based on valid assumptions and deductive logic using definitions, properties, postulates, and theorems.
- Apply the geometric concepts of congruence, similarity, parallelism, and equality to application problems.
- Demonstrate their understanding of the attributes of polygons and solids by correctly calculating areas, perimeters, surface areas, and volumes.
- Apply their knowledge of ratios to relationships among the parts of a triangle, specifically sine, cosine, and tangent.
- Create geometric diagrams, including triangles, parallel lines cut by a transversal, polygons, and circles.
- Find the sine, cosine, and tangent of an angle.

By the completion of this course, students will know…

- Basic defined and undefined terms such as distance, angles, congruent segments, congruent angles, types of triangles, conditional statements, postulates, and theorems
- The purpose of a two column proof and how to write one
- The principles of parallel lines and planes, perpendicular lines, skew lines, angles formed by two lines cut by a transversal, sum of angles in a triangle, exterior angle of triangle properties, types of polygons, and the sum of interior and exterior angles of polygons
- The principles of congruent triangles, medians, triangle centers, altitudes, angle, and segment bisectors in triangles
- The structure of parallelograms, rectangles, rhombuses, squares, trapezoids, and triangles
- The purpose of ratios, proportions and similar polygons as well as applications involving similar triangles
- Properties of right triangles, special right triangles, basic trigonometric ratios, and applications involving angles of elevation and depression
- Circle vocabulary and properties of angles and arcs in a circle

*This course last updated on January 27, 2021, by the Math Department.*