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   GRE Geometry Guide
Chapter 1: Angles and Lines
Chapter 2: Intersecting Angles
Chapter 3: Triangles
Chapter 4: Circles
Chapter 5: Perimeters & Areas
Chapter 6: Solids
Chapter 7: Coordinate Geometry

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   Geometry Chapter 2: Intersecting Angles
Table of Contents  
 
Vertical Angles

When two lines intersect each other, they create four angles:



In this case, the angles opposite one another are called vertical angles. As you can see, vertical angles are by definition always equal to each other. Therefore, in this case, 1 = 2, and 3 = 4. Another way to say this is that both "little angles" will equal each other and both "big angles" will equal each other. Also, note that a "little angle" plus a "big angle" will always equal 180°.


     

 

 

Parallel Lines

Two lines that never intersect and never get closer or farther away from one another are called parallel lines. || is the symbol for parallel lines. In the figure to the right, A || B, or line A is parallel to line B.


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  Contents of Geometry Chapter: Table of Contents
Chapter 1: Angles and Lines
  Chapter 2: Intersecting Angles
  Chapter 3: Triangles
  Chapter 4: Circles
  Chapter 5: Perimeters & Areas
  Chapter 6: Solids
  Chapter 7:
Coordinate Geometry
 
 Chapter 3: Triangles