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SAT官方每日一题：2011年9月19日

2012-03-04来源:互联网

　　为了方便广大考生更好的复习，和谐英语网综合整理了SAT官方每日一题，以供各位考生考试复习参考,希望对考生复习有所帮助。愿大家都能取得好成绩，更多有关留学考试的资讯与辅导资料敬请关注和谐英语网留学考试频道。

　　2011年9月19日

　　考试类型:Mathematics > Standard Multiple Choice

　　Read the following SAT test question and then click on a button to select your answer. 

　　If triangle A B C above is congruent to triangle D E F (not shown), which of the following must be the length of one side of triangle D E F?

　　A. 18

　　B. 24

　　C. 3 times (square root 6)

　　D. 6 times (square root 3)

　　E. It cannot be determined from the information given.

 

正确答案:D

解析:

Triangle A B C is congruent to triangle D E F, so the lengths of the three sides of triangle D E F are the same as the lengths of the three sides of triangle A B C. Triangle A B C is a 30 degrees - 60 degree - 90 degrees triangle with hypotenuse of length 12, so the other two sides of triangle A B C have lengths 6 and 6 times (square root 3). Therefore, the lengths of the sides of triangle D E F must be 12, 6, and 6 times (square root 3). Of the choices given, only 6 times (square root 3) is one of these values.

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