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6/1
Oct
6
2012
256,492
responses
| Number Answered | |
|---|---|
| Correct | 179,325 |
| Incorrect | 77,167 |
69%
correct
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
On the line above, if 
, which of the following must be true?
Hint
You can rewrite the lengths of the segments given in the answer choices in terms of lengths you can compare using the information given. For example, 
, so the first answer choice is equivalent to 
is less than 
. Does 
have to be less than 
?
as 
, 
as 
, 
as 
, and 
as 
, and then consider the five answer choices.
is less than 
. You know that 
is less than 
and that 
is also less than 
, but the sum of 
and 
might not be less than 
. Since the question asks which statement must be true, the first answer choice is not the correct answer.
is less than 
. This statement must be true, because 
is less than 
and 
is less than 
. Although there is no need to consider the other answer choices once you see that the second answer choice must be true, each of the remaining choices could be rewritten in the same way and you could see that they need not be true.