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6 Computer Adaptive Practice Exims

Bonus Question Bank for

Geometry

See page 7 for details.

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IPart I: General I

1. POLYGONS

In Action Problems Solutions

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11

19 21

2. TRIANGLES & DIAGONALS

In Action Problems Solutions

25

35 37

3. CIRCLES & CYUNDERS

In Action Problems Solutions

41

49 51

4. UNES & ANGLES

In Action Problems Solutions

55

59 61

5. COORDINATE PLANE

In Action Problems Solutions

63

75 77

TABLE OF CONTENTS

6. STRATEGIES FOR DATA SUFFICIENCY

Sample Data Sufficiency Rephraslnq

81

85

7. OFFICIAL GUIDE PROBLEMS: PART I

Problem Solving List Data Sufficiency List

93

96 97

Ipart II: Advanced

I

8. ADVANCED GEOMETRY

In Action Problems Solutions

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105 107

9. OFFICIAL GUIDE PROBLEMS: PART II

Problem Solving List Data Sufficiency List

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112 113

PART I: GENERAL

This part of the book covers both basic and intermediate topics within Geometry. Complete Part I before moving on to Part II: Advanced.

Chapterl

GEOMETRY

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POLYGONS

In This Chapter . . .

• Quadrilaterals: An Overview

• Polygons and Interior Angles • Polygons and Perimeter • Polygons and Area • 3 Dimensions: Surface Area • 3 Dimensions: Volume

POLYGONS SJRATEGY

Chapter 1

POLYGONS

A polygon is defined as a closed shape formed by line segments. The polygons tested on the GMAT include the following: • Three-sided shapes (Triangles) • Four-sided shapes (Quadrilaterals) • Other polygons with n sides (where n is five or more) This section will focus on polygons oHour or more sides. In particular, the GMAT emphasizes quadrilaterals-or four-sided polygons-including trapezoids, parallelograms, and special parallelograms. such as rhombuses. rectangles. and squares. Polygons are two-dimensional shapes-they lie in a plane. The GMAT tests your ability to work with different measurements associated with polygons. The measurements.you must be adept with are (1) interior angles, (2) perimeter, and (3) area. The GMAT also tests your knowledge of three-dimensional shapes formed from polygons, particularly rectangular solids and cubes. The measurements you must be adept With are (1) surface area and (2) volume. A polygon is a closed shape formed by line

segments.

Quadrilaterals: An Overview

The most common polygon tested on the GMAT, aside from the triangle, is the quadrilateral (any four-sided polygon). Almost all GMAT polygon problems involve the special types of quadrilaterals shown below.

Parallelogram

Opposite sides and opposite angles ate equal.

Trapezoid

One pair of opposite sides is parallel, In this case, the top and bonom sides are parallel, but the right and left sides are not.

Rectangle

All angles are 90°, and opposite sides are equal.

'\~Square

All angles are 90°. All sides are equal.

Rectangles and rhombuses are special types of parallelograms. Note that a square is a special type of parallelogram that is both a-rectangle and a rhombus.

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Chapter 1

POLYGONS STRATEGY

Polygons and Interior Angles

The swn of the interior angles of a given polygon depends only on the number of sides in the polygon. The following chart displays the relationship between the type of polygon and the sum of its interior angles. The swn of the interior angles of a polygon follows a specific pattern that depends on n, the number of sides that the...