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In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is

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Math Expert
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Joined: 02 Sep 2009
Posts: 65187
In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is  [#permalink]

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New post 27 May 2018, 09:13
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (01:35) correct 48% (00:57) wrong based on 37 sessions

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Joined: 04 Jan 2015
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Re: In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is  [#permalink]

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New post 27 May 2018, 10:43

Solution



To find:
• In the given figure, is IJ > 5?

Analysing Statement 1
• As per the information provided in statement 1, H is the midpoint of IG, and J is the midpoint of IK
    o From this, we cannot conclude anything about the length IJ. We can only say HJ = ½ GK
Hence, statement 1 is not sufficient to answer

Analysing Statement 2
• As per the information provided in statement 2, IG = GK = 10
    o From this, we cannot conclude anything about the length IJ
Hence, statement 2 is not sufficient

Combining Both Statements
• If we combine the information given in both the statements together, we can say H is the midpoint of IG, J is the midpoint of IK and IG = GK = 10
    o But, with this information, nothing can be concluded about IJ
Therefore, we cannot find the solution from the given information.

Hence, the correct answer is option E.

Answer: E
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Re: In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is  [#permalink]

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New post 27 May 2018, 11:03
Thanks for the explanation. At first glance I was thinking that linke IK has to be 10 as well, but of course it could be larger or smaller.
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Re: In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is   [#permalink] 27 May 2018, 11:03

In the figure above, is IJ > 5? (1) H is the midpoint of IG, and J is

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