Geometry & Trigonometry Lines, angles and triangles, similarity, right-triangle trig with SOH-CAH-TOA and the special triangles, circles, and volume — SAT geometry chains two facts per problem, and these six units build exactly those chains.
The course — 6 units, in order
01 Triangles & Congruence Classify triangles and prove the 180° angle sum; the exterior-angle theorem and triangle inequality; and the congruence shortcuts SSS, SAS, ASA, AAS, HL with CPCTC and isosceles triangles. Start 02 Similarity Ratio, proportion and scale factor; similar polygons; the AA·SSS·SAS similarity shortcuts; the side-splitter theorem; perimeter and area ratios; and dilations with indirect measurement. Start 03 Right Triangles & Trigonometry The Pythagorean theorem and its converse; classifying triangles; special right triangles; the SOH-CAH-TOA trig ratios; finding sides; and angles of elevation and depression with inverse trig. Start 04 Area & Perimeter Areas of parallelograms, triangles, trapezoids, rhombi and kites; regular polygons via the apothem; circles and sectors; and composite and shaded figures. Start 05 Circles Parts of a circle and central angles; arcs and chords; inscribed angles; tangents; the chord/secant/tangent angle relationships; and arc length and sector area. Start 06 Surface Area & Volume Prisms, cylinders, pyramids, cones, and spheres — wrapping and filling 3-D solids, then combining them into composite figures. Start 