Sunday, April 25, 2010

Problem 438: Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Parallel lines

Proposed Problem
Click the figure below to see the complete problem 438 about Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel lines.

Problem 438.<br />Tangent Circles, Diameter, Chord, Perpendicular, Congruence, Measurement, Parallel.
See also:
Complete Problem 438

Level: High School, SAT Prep, College geometry

Posted by Antonio Gutierrez at 3:02 PM
Labels: , , , , , , , ,

2 comments:

  1. c .t . e. oApril 26, 2010 at 3:35 AM

    1) from P436, & P437
    2) ▲APN, & ▲ADM isoceles (AP = AN, AD = AM)
    =>
    APN = ADM (ang PAN is common angle for both tr)
    as corresponding angles =>

    PN//DM
    ------------------------------------------

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  2. JankonyexApril 27, 2010 at 1:34 AM

    2)
    AM/AN=AG/AF=AD/AP(homothety)
    => DM//PN

    1)
    mADF=mDBA=mDGF => AD^2=AF*AG
    similarly AM^2=AF*AG
    => AD=AM
    with 2) we get DP=MN

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