M ATH 532, 736I: M ODERN G EOMETRY
Test 1, Spring 2011
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Instructions: Put your name at the top of this page and at the top of the rst page of the packet
of blank paper given to you.
M ATH 532, 736I: M ODERN G EOMETRY
Test 1, Spring 2013
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Instructions: This test consists of 3 pages of problems. Put your name at the top of this page and
at the top of the rst page
M ATH 532, 736I: M ODERN G EOMETRY
Test 1, Spring 2012
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Instructions: This test consists of 3 pages of problems. Put your name at the top of this page and
at the top of the rst page
Solutions for Part I
(1) Axiom P1: There exist at least four points, no three of which are collinear.
Axiom P2: There is at least one line that passes through exactly n+1 points.
Axiom P3: For any two
M ATH 532, 736I: M ODERN G EOMETRY
Test 2, Spring 2012
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Instructions: This test consists of 4 pages (one is an information page). Put your name at the top
of this page and at the top
1. Using Theorem 1 with t = 1/10 we see that C = (1-t) A + t B
2. Using the rules we get a shape that looks like this!
A
C
( )! = ( )! | = |
( )! = ( )! | =
Math 532, 736I: Modern Geometry
Test 1, Spring 2013 ( Solutions): Provided by Jeff Collins and Anil Patel
Part 1:
1. Axioms for a finite AFFINE plane of order n.
AA1
M ATH 532, 736I: M ODERN G EOMETRY
Test #2 (2011)
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Instructions: There are 100 points possible on the test. The value of each problem appears to the
left of each problem number. If t
M ATH 532, 736I: M ODERN G EOMETRY
Test 2, Spring 2013
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Instructions: This test consists of 5 pages (one is an information page). Put your name at the top
of this page and at the top
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
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