MathDB
Problems
Contests
National and Regional Contests
Canada Contests
Canada National Olympiad
1976 Canada National Olympiad
6
6
Part of
1976 Canada National Olympiad
Problems
(1)
Four coplanar points
Source: Canadian Mathematical Olympiad 1976 Problem 6
10/23/2008
If
A
,
B
,
C
,
D
A,B,C,D
A
,
B
,
C
,
D
are four points in space, such that \angle ABC\equal{}\angle BCD\equal{}\angle CDA\equal{}\angle DAB\equal{}\pi/2, prove that
A
,
B
,
C
,
D
A,B,C,D
A
,
B
,
C
,
D
lie in a plane.
geometry proposed
geometry