# Gmat Prep

Topics: Triangle, Triangles, Special right triangles Pages: 144 (23229 words) Published: March 14, 2013
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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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2. TRIANGLES & DIAGONALS
In Action Problems Solutions

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3. CIRCLES & CYUNDERS
In Action Problems Solutions

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4. UNES & ANGLES
In Action Problems Solutions

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5. COORDINATE PLANE
In Action Problems Solutions

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6. STRATEGIES FOR DATA SUFFICIENCY
Sample Data Sufficiency Rephraslnq

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7. OFFICIAL GUIDE PROBLEMS: PART I
Problem Solving List Data Sufficiency List

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In Action Problems Solutions

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9. OFFICIAL GUIDE PROBLEMS: PART II
Problem Solving List Data Sufficiency List

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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 . . .

• 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.

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...