Math 532: Quiz 8, Spring 2011
Show ALL Work
Name
(1) For each part below, the function f (x, y ) is dened as follows. First f rotates (x, y ) about the
point A = (1, 3) by /2 and then it takes the res
M AT H 5 32 , 7 36I : M ODER N GEOMETRY
Test 1 Solutions
Test 1 (2011):
Part I:
(1) Axioms for a finite AFFINE plane of order n
Axiom A1: There exist at least 4 distinct points no 3 of which are colli
M AT H 5 32 , 7 36I : M ODER N GEOMETRY
Test 2 Solutions
Test #2 (2011)
1) Theorems are listed on the last page of this test. They may or may not have the numbering
that you are accustomed to them hav
Math 532: Quiz 2
ANSWERS
Name
Axiom P1: There exist at least 4 points no 3 of which are collinear.
Axiom P2: There exists at least 1 line with exactly n + 1 (distinct) points on it.
Axiom P3: Given 2
M ATH 532, 736I: M ODERN G EOMETRY
Some Solutions to Old Final Exam Problems
Final Exam (1992):
Part II:
(2) (a) Let a, b, x, and y be such that B = (a, b) and A = (x, y ). Then
TB R,A = T(a,b) R,(x,y