Geometry, Expanded Edition

Grade Level: 11th

Geometry: Expanded Edition is the third book in the Life of Fred High School Mathematics Series, and is designed for students in 11th grade who have already finished the preceding Beginning Algebra, Expanded Edition and Advanced Algebra, Extended Edition.

Thirteen chapters plus six honors-level "half" chapters with multiple sub-lessons are included. Each lesson ends with a "Your Turn to Play" segment with a small number of thought-provoking questions. Answers are provided on the next page for students to go over themselves after attempting to solve the problems. Chapters conclude with three problem sets, each of which is named after a city, and their answers. This full-year curriculum will provide students with a thorough knowledge of geometry, including proofs.

Geometry, Expanded Edition covers: acute, obtuse, and right angles, Perimeter, Polygons, the Pythagorean Theorem, circumference, Arcs, the Compass and straightedge, Golden Rectangles and golden ratio, Trisecting an angle and squaring a circle, Coordinate Geometry, Analytic geometry, Cartesian/ rectangular/orthogonal coordinate system, axes, origins, and quadrants, slope, distance formula, midpoint formula, proofs using analytic geometry, Geometry in Dimensions, Hypothesis and conclusion, Inductive and deductive reasoning, Non-Euclidean Geometry, Collinear points, Theorems, propositions, lemmas, and corollaries, Quadrilaterals, the midsegment of a triangle, Euler's theorem, Symbolic Logic, Contrapositives, Isosceles triangle theorem, SSS, SAS, ASA postulates, and more.