GED® Geometry: Pythagorean Theorem & Coordinate Geometry
A complete GED® Geometry course connecting right triangles to the coordinate plane. Students learn to identify and model right triangles; find a hypotenuse or missing leg; use and verify Pythagorean triples; estimate non-perfect square roots; and solve authentic distance problems. On the coordinate plane, they plot points, measure grid segments, use distance and midpoint formulas, recover missing endpoints, calculate and interpret slope, and select the correct tool in multi-step problems. Lessons include diagrams, concept notes, worked examples, error analysis, calculator guidance, GED®-style strategy, and interactive self-checks. Lesson practice and a cumulative final provide detailed teaching explanations.
📚 Course Curriculum
Learning goals. By the end of this lesson, you should be able to:. identify the right angle, two legs, and hypotenuse in any orientation;. explain …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. state the Pythagorean Theorem with \(c\) as the hypotenuse;. explain the theorem …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. find a hypotenuse from two legs;. report exact and rounded answers appropriately; …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. distinguish a missing-leg problem from a missing-hypotenuse problem;. isolate and calculate a …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. recognize the most useful Pythagorean triples;. scale a triple up or down …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. translate a situation into a labeled right triangle;. distinguish travel distance from …
Open trial session →Learning goals. By the end of this lesson, you should be able to:. plot and read ordered pairs without reversing coordinates;. classify points by quadrant …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. find horizontal and vertical lengths using absolute differences;. use the scale of …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. derive and apply the distance formula;. distinguish exact distance, squared distance, and …
Open trial session →Learning goals. By the end of this lesson, you should be able to:. find a midpoint by averaging coordinates;. recover a missing endpoint when the …
🔒 Enroll to unlock this session.
Learning goals. By the end of this lesson, you should be able to:. calculate slope from two points using a consistent subtraction order;. interpret positive, …
Open trial session →Learning goals. By the end of this lesson, you should be able to:. select a formula from the quantity requested, not just the numbers shown;. …
🔒 Enroll to unlock this session.
Course Syllabus
Course Outcomes
📝 Practice Questions
286 interactive questions with instant feedback and explanations.
Enroll for free to unlock the full practice bank after the trial sessions.