Proposed Problem

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

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Complete Problem 438

Level: High School, SAT Prep, College geometry

## Sunday, April 25, 2010

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

Labels:
chord,
circle,
congruence,
diameter,
measurement,
parallel,
perpendicular,
similarity,
tangent

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1) from P436, & P437

ReplyDelete2) ▲APN, & ▲ADM isoceles (AP = AN, AD = AM)

=>

APN = ADM (ang PAN is common angle for both tr)

as corresponding angles =>

PN//DM

------------------------------------------

2)

ReplyDeleteAM/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