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A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
The attachment #GREprepquestion RS= ST= TU= UR= 10 .jpg is no longer available
RS= ST= TU= UR= 10
Quantity A
Quantity B
RT
13
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Since RS = ST = TU = UR, we know that quadrilateral RSTU is a RHUMBUS (aka diamond shape)
As such, we can keep all sides the same length when we "squeeze" the sides horizontally, like this:
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Another approach is:
Since RST is a triangle and RS = ST = 10,
RS - ST < RT < RS + ST i.e.,
10 - 10 < RT < 10 + 10 ==> 0 < RT < 20.
RT can be any value between 1 and 19, therefore the answer is D.
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