Posted by janine on Monday, July 18, 2011 at 5:17pm.
The image of the point (1, 2) after a rotation of 180° about the origin is

math  Damon, Monday, July 18, 2011 at 5:35pm
(1,+2) by inspection
using 90 deg matrix
R90 =
+0 1
+1 +0
R180 is R90 * R90
+0 1+0 1
+1 +0+1 +0
which is
1 +0
+0 1

continued  Damon, Monday, July 18, 2011 at 5:36pm
1 +0 +1
+0 1 2
= (1, +2 )
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