Friday, March 21, 2014

Geometry Problem 994: Trapezoid, Midpoints of the bases, Concurrent Lines

Geometry Problem. Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click the figure below to view the complete problem 994

Online Geometry Problem 994: Trapezoid, Midpoints of the bases, Concurrent Lines.

2 comments:

  1. Let CD cut MN at P
    ∆ PNC similar to ∆PMD
    So PN/PM=NC/MD=NB/MA => ∆ PNB similar to ∆ PMA
    So A, B, P are collinear and AB, MN, DC concurrent at P

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  2. Problem 994
    Is BN/AM=NC/MD then from the inverse theorem batch AB,MN and DC are concurrent at P.
    APOSTOLIS MANOLOUDIS 4 HIGH SCHOOL KORYDALLOS PIRAEUS GREECE

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