Duration of the online course: 31 hours and 17 minutes
5
(1)
Geometry becomes much easier when you stop memorizing disconnected rules and start seeing how ideas fit together. This free online course helps you build that structure from the ground up, so you can approach diagrams, coordinate problems, and proof questions with clarity. You will strengthen the fundamentals that high school geometry depends on, developing a reliable sense of how points, lines, and planes behave and how to translate visual relationships into accurate mathematical statements.
As you progress, you will get comfortable measuring and constructing segments, working with angles, and interpreting key angle relationships. You will also practice using common formulas in meaningful ways, linking perimeter, area, and circumference to real problem setups rather than isolated drills. The course reinforces these skills with guided questions, helping you avoid typical mistakes such as mixing up angle naming, misreading diagrams, or applying a formula without understanding the conditions behind it.
Coordinate geometry is treated as a powerful toolkit, not a separate topic. You will learn to find distance and midpoint from coordinates and use transformations to understand how figures move and change on the plane. This supports both algebraic thinking and visual reasoning, which becomes essential as problems start combining multiple steps. Along the way, you will gain practice identifying which transformations preserve orientation and how that impacts congruence and interpretation.
A major focus is reasoning and proof, where many students feel stuck. You will develop inductive reasoning to spot patterns and make conjectures, then switch to deductive reasoning to verify what is true. The course makes logic feel approachable by working with conditional statements and their related forms, including converse, inverse, and contrapositive, and clarifying what it means for a statement to be biconditional. You will also practice justifying steps with properties of equality and build confidence reading and writing geometric proofs in formats such as two-column and flowchart styles, supported by foundational theorems that frequently appear in classroom work and exams.
By the end, you should be able to read geometry problems with more precision, explain your reasoning more clearly, and move from a diagram to a correct solution with fewer false starts. Whether you are preparing for high school, catching up after a gap, or aiming to perform better on tests, this course provides a steady path toward stronger geometric thinking through explanation, practice, and repetition where it matters.
Video class: Are you ready for High School Geometry?
01m
Exercise: Which theorem is used to find the relationship between the sides of a right triangle?
Video class: Geometry 1.1, Understanding points, lines, and planes
09m
Exercise: Understanding Basic Geometry Terms: Points, Lines, and Planes
Video class: Geometry 1.2, Measuring and constructing segments
17m
Exercise: What is the distance between two points on a line based on their coordinates?
Video class: Geometry 1.3, Measuring
22m
Exercise: How can an angle be named?
Video class: Geometry 1.4, Pairs of angles
14m
Exercise: What is the measure of the larger angle in a complementary angle pair with a 1:2 ratio?
Video class: Geometry 1.5, Using Formulas in Geometry, Perimeter, Area, Circumference
14m
Exercise: What is the formula for the area of a triangle?
Video class: Geometry 1.6, Midpoint and Distance in the Coordinate Plane
16m
Exercise: How to find the midpoint of a segment on a coordinate plane?
Video class: Geometry 1.7, Transformations in the Coordinate Plane
13m
Exercise: Which of the following transformations would NOT change the orientation of a figure on the coordinate plane?
Video class: Geometry 2.1, Inductive Reasoning
15m
Exercise: What is the next number in the pattern: 5, 10, 15, 20, 25?
Video class: Geometry 2.2a, Conditional Statements, IF,THEN p?q
13m
Exercise: Understanding Conditional Statements
Video class: Geometry 2.2b, More examples of Conditionals, Converse, Inverse, Contrapositive
06m
Exercise: What is the contrapositive of the statement "If the bird can fly, then the bird has wings"?
Video class: Geometry 2.3a, Using Deductive reasoning to verify conjectures
12m
Exercise: What type of reasoning is used to conclude an egg-balancing myth is false?
Video class: Geometry 2.3b, Using Deductive reasoning to solve Logic puzzles
11m
Exercise: Logic Puzzle: Who likes which superhero?
Video class: Geometry 2.4, Biconditional statements
10m
Exercise: What is the nature of a biconditional statement in logic?
Video class: Geometry 2.5, Algebraic Proof and justifying each step
14m
Exercise: Which property of equality states that if a equals b, then b can be substituted for a in any expression?
Video class: Geometry 2.6a, Geometric Proof for a two-column proof
13m
Exercise: What is the definition of complementary angles?
Video class: Geometry 2.6b, Design plans for two-column proofs
09m
Exercise: What is the Common Angles Theorem about?
Video class: Geometry 2.7a, Read
15m
Exercise: What is a flowchart proof in geometry?
Video class: Geometry 2.7b, Read
14m
Exercise: What is the vertical angles theorem about?
Video class: Geometry 2.7c, Intro to Symbolic Logic, Conjunctions
12m
Exercise: What is a compound statement that uses 'AND' called?
31 hours and 17 minutes of online video course
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Course comments: Geometry Course
Theo
very good teacher; easily understood