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Surprisingly, on the SAT you can often solve geometry problems by merely “eye-balling” the given drawing. Even on problems whose answers you can’t get directly by looking, you often can eliminate a couple of the answer-choices.
  • Unless stated otherwise, all figures are drawn exactly to scale. Hence, if an angle looks like it’s about 90°, it is; if one figure looks like it’s about twice as large as another figure, it is.
All the problems in this section were solved before. Now, we will solve them by eye-balling the drawings.

In the figure, if , then what is the value of y?

  1. 20
  2. 45
  3. 55
  4. 75
  5. 110

By eye-balling the drawing, we can see that y is less than 90˚.


It appears to be somewhere between 65˚ and 85˚.


But 75˚ is the only answer-choice in that range.


Hence, the answer is (D).


In the figure, the area of the shaded region is

  1. 1/2
  2. 2/3
  3. 7/8
  4. 3/2
  5. 5/2

The area of the larger triangle is .


Now, by eye-balling the drawing, the area of the shaded region looks to be about half that of the larger triangle.


Therefore, the answer should be about .


The closest answer-choice to 1 is 7/8.


The answer is (C).

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