## 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
- Early result of Euclidean Geometry, taken from Chapter 9 exercises [1],[2],[3],[4],[5],[6],[7]
- 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.)
- 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

- 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

- A geometric problem involving similarity, taken from Ch 10 Exercise [15],[16],[17],[23]
- A problem about using Area to prove the Pythagorean Theorem, taken from Ch 11 Exercises [5],[6],[7]

Last updated Nov 16, 2016