2016 - 2017 Fall Semseter MATH 3110 College Geometry
Section 100 (Barsamian) Exam 4 Information

• Exam is on Monday, November 21, 2016.
• You can use your book of Theorems & Definitions.
• The exam starts at 12:55pm and ends at 1:50pm
• The exam covers Chapters 9,10,11.
• exam is 6 problems, on 6 pages, printed on front & back of 3 sheets of paper
1. Early result of Euclidean Geometry, taken from Chapter 9 exercises [1],[2],[3],[4],[5],[6],[7]
2. A property of parallelograms in Euclidean Geometry. In Chapter 9 Exercise [9] Prove one of the implications in Theorem 108 about convex quadrilaterals. For example, it could be to prove that (iv) ==> (ii). (I choose which one.)
3. A proof involving adding parallel lines to a triangle to prove something
   • Ch 10 Exercise [5] Illustrate & Justify The steps in proof of Theorem 121 about lines parallel to base of triangle
   • Ch 10 Exercise [6] Illustrate & Justify The steps in proof of Theorem 122 The Angle Bisector Theorem
   • Ch 10 Exercise [8] Illustrate & Justify The steps in proof of Theorem 124 AAA similarity
4. Important proof that uses similarity
   • Ch 10 Exercise [18] about the Pythagorean Theorem
   • Ch 10 Exercise [21] about the product of base*height
   • Ch 10 Exercise [22] about the product of base*height
   • Ch 11 Exercise [8] about proof of Theorem 135 about area of similar triangles
5. A geometric problem involving similarity, taken from Ch 10 Exercise [15],[16],[17],[23]
6. A problem about using Area to prove the Pythagorean Theorem, taken from Ch 11 Exercises [5],[6],[7]

Last updated Nov 16, 2016