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\hskip3truecm Mat 3271 Exam I  Sp 14 Name \hrulefill \medbreak  
\centerline{Show all your work }
\vskip1truecm 
\noindent 1) (10  pts.)Write down the book (Hilbert's) axioms for incidence geometry.
\vskip0.5truecm \noindent IA-1. \vssk IA-2. \vssk IA-3.
\vssk 2) (15  pts.)Write down the book (Hilbert's) axioms for betweeness  and separation in incidence  geometry.
\vskip0.5truecm \noindent  BA-1.\vssk BA-2.\vssk BA-3. \vssk  BA-4.
\vfill \eject 3) (15  pts.)Write down the book (Hilbert's) axioms for segment and angle congruence in incidence geometry.
\vskip0.5truecm \noindent CA-1.
\vssk CA-2.\vssk CA-3. \vssk CA-4. \vssk CA-5.
\vssk  Write the condition for (SAS).
\vfill \eject
\vssk  4) (20  pts.) Prove that the base angles of an isosceles triangle are congruent. (justify your steps)
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\noindent 5) (20 pts.) Prove that the supplements of congruent angles are congruent. (justify your steps)
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\vssk 6) (20 pts.) Prove  Pasch's Theorem. (justify your steps)
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