MATH 510 Intro Found Of Geometry San Diego State

Math 510 Exam 1 Solutions Feb 26, 2007 1. (a) (3 pts) State the denition of isometry. An isometry is a transformation of a geometric space which preserves distances. (It also preserves angles, but this follows from preserving distances.) (b) (3 pts)

Math 510 Exam 2 Solutions Apr 16, 2007 1. (5 pts each) (a) Give one possible denition of angle. One possible denition is that it is the union of two dierent rays with a common endpoint. (b) What denition of congruence of angles would be consistent w

Math 510, Introduction to the Foundations of Geometry Spring 2007, 5:356:50 MW, C-8 Instructor: Imre Tuba Oce: East Faculty 106 Phone: 768-5606 E-mail: ituba@mail.sdsu.edu Oce hours: 3:454:45 MW, 56 Tu. Prerequisites: Calculus II (Math 122 or 151 or

Lecture notes for Math 510 4/9/07 These notes grew out of Prof. David Whitmans at the San Diego campus of SDSU. I have made some changes, added in some details, expanded some arguments, and added the section titled Why axiomatic geometry? 1. Linear

Math 510 Exam 1 Feb 23, 2009 1. (5 pts) Given a ray AB and a point C, such that C is on the line AB and is between A and B, can you prove from the denition of ray and the postulates we have so far that AB = AC? Why or why not? This is n

Math 510, Introduction to the Foundations of Geometry Spring 2009, 5:356:50 MW, C-10 Instructor: Imre Tuba Oce: East Faculty 106 Phone: 768-5606 E-mail: ituba@mail.sdsu.edu Oce hours: 4:305:30 MW, 56 Tu. Prerequisites: Mathematical maturity at the le

Math 510 Exam 2 Solutions Mar 23, 2009 1. (10 pts) The Egyptians thought that if a quadrilateral had sides of length a, b, c, and d, then its area S was given by the formula (a + c)(b + d)/4. Prove that actually 4S (a + c)(b + d) with equality hold

Lecture notes for Math 510 4/10/09 These notes grew out of Prof. David Whitman\'s at the San Diego campus of SDSU. I have made some changes, added in some details, expanded some arguments, and added the section titled \"Why axiomatic geometry?\" This i

Math 510 Exam 3 Solutions Apr 27, 2009 1. (10 pts) In this exercise, you will work in the axiomatic geometry we have been constructing in class. The axioms and theorems are listed at the end of the exam. - - - Prove the following statement without