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In parallelogram EFGH let M be the midpoint of side and let N be the midpoint of side EH. Line segments FH and GM intersect at P and line segments FH and GM intersect at Q. Find PQ/FH. 

 

Thank you so much!! :)

Noori

 Jun 22, 2020
 #1
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Here are hints to help you get started.

 


 

First draw diagonal EG meeting FH at point X.

 

Since the diagonals of a parralelogram bisect eachother EX = XG.

 

FX and GM are thus medians of EFG so P is the centroid of EFG.

 

 

Does this help>

 Jun 22, 2020
edited by hugomimihu  Jun 22, 2020
edited by hugomimihu  Jun 22, 2020
 #2
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Draw in diagonal ? Its not clear which diagonal. Thanks!

Noori  Jun 22, 2020
 #3
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Ah, apologies.

 

You draw a diagonal, or line segment, from point E to G. This should meet the OTHER one from F to H at a point X.

hugomimihu  Jun 22, 2020
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Oh ok. :) Let me work on that

Noori  Jun 22, 2020
 #5
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great, contact me if you need any more hlep :)

 

oof I need "hlep" on my spelling

hugomimihu  Jun 22, 2020
edited by hugomimihu  Jun 22, 2020
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Great! I got it right! Thank you so much for helping me with all of my problems!! :)

Noori  Jun 22, 2020
 #7
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no problem!

hugomimihu  Jun 22, 2020

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