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Quadrilateral ABCD is a parallelogram. The midpoints of AB and AD  are M and N, respectively. Let P be the intersection of DB and CM and let Q be the intersection of  DB and  CN. Compute PQ/DB.

 

Thanks.

 Dec 17, 2019

Best Answer 

 #3
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Quadrilateral ABCD is a parallelogram. The midpoints of AB and AD  are M and N, respectively. Let P be the intersection of DB and CM and let Q be the intersection of  DB and  CN. Compute PQ/DB.

laugh

 Dec 17, 2019
 #1
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From similar triangles PCD and MBP, PB:PD = 1:3, so PB = BD/4.  From the other pair of similar triangles, DQ = BD/4.  Therefore, PQ/BD = (BD - PB - DQ)/BD = 1/2.

 Dec 17, 2019
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sry thats not right

Guest Dec 17, 2019
 #3
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Best Answer

Quadrilateral ABCD is a parallelogram. The midpoints of AB and AD  are M and N, respectively. Let P be the intersection of DB and CM and let Q be the intersection of  DB and  CN. Compute PQ/DB.

laugh

Omi67 Dec 17, 2019

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