Practical Geometry Part One

Practical Geometry (Part One)

Practical Geometry (Part Two)

Each chapter contains a study guide that goes in-depth into each subject before the practice problems. For each concept, there are step-by-step explanations on how to approach the solving problems. There are a variety of practice problems on which covers everything that had been gone over in the study guide. Afterwards, there is a self- test that assesses that knowledge of the student. And in the middle of the book, there is another review test that grasps the reader's knowledge all the previous chapters. The table of contents Chapter 7: Similarity. This chapter explains the ratio between two numbers, discern proportions and their properties, identifies the properties of similar polygons, and proves that two triangles can be similar with different postulates and theorems, as well as learning how to identify dilations and its properties.Chapter 8: Right Triangles. This chapter shows how to solve problems involving similar triangles formed by the altitude that is perpendicular to the hypotenuse, finding the lengths of the sides of a triangle with the Pythagorean Theorem, use side lengths to classify triangles and angles measures and find their length in special right triangles, and to find the magnitude and direction of a vector. Chapter 9: Circles. This section discusses segments and lines related to circles, use properties of tangents, arcs, and chords of a circle as well as the properties of inscribed angles and inscribed polygons of a circle, and finding and graphing the equation of a circle. Chapter 10: Area of Polygons and Circles. This chapter describes the angle measures in polygons, the areas of regular polygons as well as the perimeters and areas of similar figures, the circumference and arc length of circles, and the areas of circles and their sectors.Chapter 11: Surface Area and Volume of Solids. This chapter encounters the various surface areas of solids, such as pyramids, prisms, and spheres and also shows how find their volume.Review Test Additionally, the appendix contains useful formulas as well as relevant vocabulary.