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Geometry

Reasoning and Proofs

Geometry demands the mastery of topics such as Deductive Reasoning and the Laws of Logic to make mathematical arguments. Our course is designed to establish many levels of proficiency. Using the information found in our Deductive Reasoning and the Laws of Logic topic, you will aplly the Language of Geometry to make various Types of Proofs to verify relationships between angles and lines in geometric figures. Geometric proofs explain relationships between angles and shapes in Geometry. When Proving Angles are Complementary with Perpendicular Lines, step-by-step explanations and factual evidence is required. There are a variety of Methods of Proofs used in Geometry. For example, covered in our topic Testing a Generalization and Counterexamples, you will develop the skills to prove a certain relationship is not always true. By applying many different aspects of Geometry to to our Reasoning and Proofs topic, you will develop high level proficiencies required for advanced level Geometry.​

Sophia's Common Core-Aligned Pathways and Tutorials

We want to make it simple for you to begin integrating Common Core-Aligned Lessons into your classroom Our Math Pathways feature in-depth, relevant content that aligns to these new standards. As an added benefit, these Pathways use Sophia’s Many Ways To Learn, an innovative approach that features multiple instructors and teaching techniques to connect with all kinds of learning styles.

Mathematics Courses for College Credit

Sophia College Courses are low-cost, self-paced, credit-carrying courses eligible for transfer to many different colleges and universities.*

College Algebra

Study fundamental topics in college-level algebra with emphasis on application.

Introduction to Statistics

Grasp core concepts of statistics such as probability distributions, approximations, and hypothesis-testing.

Pathways that Teach Reasoning and Proofs

Pathways are a sequence of tutorials that help you learn a whole subject area, one concept at a time. Choose from multiple teachers and teaching styles.
Reasoning and Proofs Pathway
Concepts: 28
Quiz Points: 405
The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 25 of Sophia's online courses for college credit. These courses are eligible to transfer to many different colleges and universities.