Geometry is all about figures, rules, and logical thinking. You need to learn the rules and properties of each figure and angle. There are a lot of them, but every rule is fair game on the exam.
Geometry is always a logical puzzle. The GRE gives you a tiny piece of information pertaining to a specific figure, and you must use your knowledge of the rules of the figure to logically infer the correct outcome. Geometry questions require you to state a series of “if…then” statements, constantly building to the correct answer.
In general, then, we have only one piece of advice. Don’t try to figure out the answer before you get there. You may not see the direction the logic will take you as you figure out a question. Rather, at each stage, jot down everything you know about the question. Piece by piece, you should get to the right answer.
II. Lines and Angles
The most basic element in geometry is the point:
If we have two points, we can connect them to form a line:
When two lines originate from the same point, they form an angle:
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