Geometry (all content) | Khan Academy

Khan Academy Geometry Curriculum Overview

This page outlines the comprehensive curriculum for the Khan Academy Geometry course, covering foundational concepts through advanced geometric proofs and trigonometry.

• Foundational Geometry: Lines, rays, segments, angle types (vertical, complementary, supplementary), and properties of shapes.
• Polygons and Triangles: Classification of shapes, triangle angle theorems, exterior angles, isosceles triangles, medians, centroids, and bisectors.
• Coordinate Geometry: Working with all four quadrants, plotting points, reflecting points, and calculating area/perimeter on the coordinate plane.
• Measurement: Calculating area and perimeter of rectangles, parallelograms, triangles, trapezoids, and composite figures; area and circumference of circles.
• 3D Geometry: Volume of rectangular prisms, triangular prisms, cubes, cones, cylinders, and spheres; surface area and cross-sections.
• Transformations: Rigid transformations (translations, rotations, reflections), dilations, symmetry, and congruence.
• Advanced Theorems: Pythagorean theorem, triangle similarity, special right triangles, and the angle bisector theorem.
• Trigonometry: Introduction to trigonometric ratios (sine, cosine, tangent), solving right triangles, modeling, reciprocal ratios, Law of Sines, and Law of Cosines.
• Circles: Arc measure, arc length, radians, inscribed angles, and properties of tangents.
• Constructions: Geometric constructions including bisectors, regular polygons, circumcircles, and incircles.
• Analytical Geometry: Equations of parallel and perpendicular lines, distance and midpoint formulas, and determining points relative to circles.
• Deductive Reasoning: Specialized modules on proofs, including proof by contradiction and deductive reasoning exercises.