chapter 1 note

# chapter 1 note - A There are two types of problems a Ones...

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Chapter 1: Common Sense and Exact Reasoning 1.1 An Organized logical development of geometry A) Undefined Terms (describing them not defining) a. We have three undefined terms i. Point - has no area ii. Line- extends infinitely in both directions, has no width iii. Plane- flat surface extending infinitely in all directions, no thickness B) There are three types of statements a. Definitions- we will state as clearly and exactly as we can (there will be a lot of definitions) b. Postulates- statements assumed to be true without proof i. 24 of them c. Theorems- statements that are proven C) We need to use precise language!!!!!!!!!!!!!!

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1-2 Two Kinds of Problems
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Unformatted text preview: A) There are two types of problems a. Ones that can be solved with common sense i. The product of two consecutive positive numbers is 12, what are the numbers? b. Ones that requires proof or problem solving techniques i. The sum of the squares of two consecutive even integers is 340. Find all such integers. c. A rectangle is 10 cm longer that it is wide. A line segment cuts the area enclosed into two pieces, one of which is a square. The area of the rectangle is 118 more than the area of the square. What is the width of the rectangle? HW# 1 p. 4-5 #1,3,4,5,6 p. 9-12 #1-9 extra credit #10...
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## This note was uploaded on 05/16/2011 for the course ALGEBRA 098 taught by Professor Johnson during the Spring '09 term at Grand Valley State.

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chapter 1 note - A There are two types of problems a Ones...

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