Alexander H Ko

Practical Geometry (Part One) Alexander H Ko

This is a study guide written primarily for middle and high schoolers in order for them to learn relevant math concepts at their level. There is an introduction before each chapter that describes what will be covered. Chapter 1 introduces basic geometry, and analyzes different kinds of angles and establishes fundamental terms about geometry. Chapter 2 discusses inductive and deductive reasoning, the conditional statement and its various forms, and the properties of equality for solving algebraic equation. Chapter 3 deals with the perpendicular and parallel lines including the properties of perpendicular and parallel lines that are given with distinctive pairs of angle relationships. Chapter 4 covers congruent triangles classified by their sides and angles, congruent figures and their corresponding parts are identified, and how to prove triangles to be congruent through different postulates and theorems. Chapter 5 instructs on triangles, which discusses the properties of perpendicular and angle bisectors, the properties of medians and altitudes of triangles, and the properties of midsegments of triangles. Chapter 6 analyzes quadrilaterals based on limited information, classifies the different kinds of quadrilaterals, and covers the different properties of quadrilaterals, which includes, but are not limited to parallelograms, squares, and trapezoids. Each concept has a step-by-step explanation on how to approach the problems. Afterwards, there is a self- test that assesses the knowledge of the student. And at the end of the book, there is a review test that grasps the student's knowledge all the previous chapters.