GMAT Geometry (Manhattan Prep GMAT Strategy Guides)
Adapting to the ever-changing GMAT exam, Manhattan Prep’s 6th Edition GMAT Strategy Guides offer the latest approaches for students looking to score in the top percentiles. Written by active instructors with 99th-percentile scores, these books are designed with the student in mind.
The GMAT Geometry Strategy Guide equips you with powerful tools to grasp and solve every geometry problem tested on the GMAT. It covers not only fundamental geometric principles and techniques but also nuanced strategies for tackling tricky questions involving polygons, the coordinate plane, and many other topics. Unlike other guides that attempt to convey everything in a single tome, the GMAT Geometry Strategy Guide is designed to provide deep, focused coverage of one specialized area tested on the GMAT. As a result, students benefit from thorough and comprehensive subject material, clear explanations of fundamental principles, and step-by-step instructions of important techniques. In-action practice problems and detailed answer explanations challenge the student, while topical sets of Official Guide problems provide the opportunity for further growth. Used by itself or with other Manhattan Prep Strategy Guides, the GMAT Geometry Strategy Guide will help students develop all the knowledge, skills, and strategic thinking necessary for success on the GMAT. Purchase of this book includes one year of access to Manhattan Prep’s online computer-adaptive GMAT practice exams and Geometry Question Bank. All of Manhattan Prep's GMAT Strategy Guides are aligned with the 2016 Edition GMAC Official Guide.
2 x 2 x 2 = 8. If the cube’s side decreases by one-half, its new length is 2 —~(2) = 1 unit. Its new volume = j3= l x l x l = l. Determine percent decrease as follows: original = t l = Z = 0.875 = 87.5% d c c ^ e 8 8 MANHATTAN GMAT Geometry Strategies Chapter 6 Problem Set 1. If the length of an edge of Cube A is one-third the length of an edge of Cube B, what is the ratio of the volume of Cube A to the volume of Cube B? A Dx E B 3x C 2. ABCD is a parallelogram (see figure above).
circles, spheres, cubes, 45 -4 5 -9 0 triangles, 3 0 -6 0 -9 0 triangles, and others) are those for which you only need one measurement to know every measurement. For in stance, if you have the radius of a circle, you can get the diameter, circumference, and area. If you have a 4 5 -4 5 -9 0 or 3 0 -6 0 -9 0 triangle, you only need one side to get all three. In this problem, if you have the side of an equilateral, you could get the height, area, and perimeter. If you have the side of a square,
problems can be solved without using the quadratic formula. If you do apply this formula, the advantage is that you can quickly tell how many solutions the equation has by looking at just one part: the expression under the radical sign, b2 = 4ac. This expression is known as the discrim inant, because it discriminates or distinguishes three cases for the number of solutions to the equation, as follows: (1) If b2 - 4ac > 0, then the square root operation yields a positive num ber. The quadratic
how ever, that in a rectangular solid, the front and back faces have the same area, the top and bottom faces have the same area, and the two side faces have the same area. In the solid on the previous page, the area of the front face is equal to 12 x 4 = 48. Thus, the back face also has an area of 48. The area of the bottom face is equal to 12 x 3 = 36. Thus, the top face also has an area of 36. Finally, each side face has an area of 3 x 4 = 12. Therefore, the surface area, or the sum of the
Similar Triangles Triangles and Area, Revisited Triangles & Diagonals The polygon most commonly tested on the GMAT is the triangle. Right triangles (those with a 90° angle) require particular attention, because they have special properties that are useful for solving many GMAT geometry problems. The most important property of a right triangle is the unique relationship of the three sides. Given the lengths of any two of the sides of a right triangle, you can determine the length of the third