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If the distance in miles between cities is shown in the tabl
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05 Jan 2021, 09:32
05 Jan 2021, 09:32
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If the distance in miles between cities is shown in the table above, which of the following statements are true?
A. Springfield, Fort Wayne, and Toledo lie on a line.
B. Indianapolis is the midpoint of the line segment connecting Toledo and Springfield.
C. Indianapolis, Toledo, and Fort Wayne are the vertices of an equilateral triangle.
Kudos for the right answer and explanation
Re: If the distance in miles between cities is shown in the tabl
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06 Jan 2021, 09:16
06 Jan 2021, 09:16
1
Definition:
Springfield => S ,Fort Wayne => F , Toledo => T, Indianapolis =>I
A<>B means distance between A and B.
A<>B = B<>A
A. Springfield, Fort Wayne, and Toledo lie on a line.
S<>F is 254 , F<>T is 89 , and S<>T is 343 = 254 + 89
If S,F,T does not lie on a line, S<>T should be smaller than 343.
True :
B. Indianapolis is the midpoint of the line segment connecting Toledo and Springfield.
False:
If Indianapolis is the mid point of the line segment T<>S, T<>S = T<>I + I<>S
343 ,T<>S is not equal to 183, T<>I, + 186, I<>S, so Indianapolis is not the mid point of line segment connecting Toledo and Springfield
C. Indianapolis, Toledo, and Fort Wayne are the vertices of an equilateral triangle.
False
Every side of an equilateral triangle should have same length.
I<>T, T<>F, F<>I should have same length in case these cities are the vertices of an equilateral triangle.
I<>T : 183
T<>F : 89
F<>I : 101
Obviously their values are not equal.
Springfield => S ,Fort Wayne => F , Toledo => T, Indianapolis =>I
A<>B means distance between A and B.
A<>B = B<>A
A. Springfield, Fort Wayne, and Toledo lie on a line.
S<>F is 254 , F<>T is 89 , and S<>T is 343 = 254 + 89
If S,F,T does not lie on a line, S<>T should be smaller than 343.
True :
B. Indianapolis is the midpoint of the line segment connecting Toledo and Springfield.
False:
If Indianapolis is the mid point of the line segment T<>S, T<>S = T<>I + I<>S
343 ,T<>S is not equal to 183, T<>I, + 186, I<>S, so Indianapolis is not the mid point of line segment connecting Toledo and Springfield
C. Indianapolis, Toledo, and Fort Wayne are the vertices of an equilateral triangle.
False
Every side of an equilateral triangle should have same length.
I<>T, T<>F, F<>I should have same length in case these cities are the vertices of an equilateral triangle.
I<>T : 183
T<>F : 89
F<>I : 101
Obviously their values are not equal.
Re: If the distance in miles between cities is shown in the tabl
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22 Sep 2023, 08:19
22 Sep 2023, 08:19
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
