SAT Math Multiple Choice Practice Question 495: Answer and Explanation

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Question: 495

15. What is the greatest number of regions into which an equilateral triangle can be divided using exactly three straight lines?

A. 4
B. 6
C. 7
D. 8
E. 9

Correct Answer: C


C The Joe Bloggs answer is E because Joe simply chooses the greatest number. If you draw three straight, intersecting lines through the center of the triangle, you get 6 regions, so you know that you can have at least 6. Therefore, you can eliminate A. But that was too easy. That means the answer must be 7 or 8. If you don't have time, you can guess between C and D. Here's how you can actually get 7 regions:

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