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Varignon Quadrilateral Problem

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Description:

Source(s):

 Sia dato quadrilatero ABCD e siano L, M, N e P rispettivamente i punte medi dei lati AB, BC, CD, DA.

1. Quali proprietà ha il quadrilatero LMNP?

2. Quali configurazioni particolari assume il quadrilatero LMNP?

3. Quali ipotesi sul quadrilatero ABCD occorre fare affinché LMNP assuma tali configurazioni particolari ?

  
Olivero 2002 p. 266

Draw any quadrilateral ABCD. Draw the midpoints L, M, N, P of the four sides.

1. Which properties does the quadrilateral LMNP have?

2. Which particular configurations does LMNP assume?

Which hypotheses on the quadrilateral ABCD are needed in order for LMNP to assume those particular configurations?

 
 Olivero 2002 p. 266

Other Variants: See Keyton (1997) for properties that suggest new problems




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Supported by a research grant from the Social Sciences and Humanities Research Council of Canada

Page last updated July 2008 by David Reid

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