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lesson 1.1 Geometry.notebook September 09, 2015 Warm Up ~ Simplify Square Roots (radicals) Absolute Values lesson 1.1 Geometry.notebook September 09, 2015 Find the slope, midpoint, and distance for (4,5) and (3,9) Slope Formula Midpoint Formula Distance Formula lesson 1.1 Geometry.notebook September 09, 2015 Your Turn Find the slope, midpoint, and distance between the two points: (9,1) & (6,5) a. Slope c. distance b. midpoint lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook Class Work: PreCourse Assignment September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 Geometry: A brief History Roughly 2000 years ago, a Greek mathematician named Euclid, wrote a book titled, Elements. In this book, Euclid first introduced the concept of Geometry. Today, we call the geometry we study Euclidean Geometry. lesson 1.1 Geometry.notebook September 09, 2015 In Elements, Euclid wrote about 5 postulates, the foundations of our current day geometry class (we will define postulates later) 1. Between any two points a straight line may be drawn. 2. A line segment can be extended forever in a straight line. 3. Given a line segment, a circle may be drawn having one endpoint as the center and the segment as a radius. 4. All right angles are congruent. 5. If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the straight lines, if extended indefinetely, meet on the side on which the angles lie. Euclid also started algebraic geometry, and finding the square root of number lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 Warm Up: 1) What are the "undefined terms"? 2) Use correct geometric symbols to represent the given figure: F a) C b) B A C D lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook As a group, define POINT, LINE, and PLANE September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 Your Turn Draw and label each of the following: A. a segment with endpoints M and N. B. opposite rays with a common endpoint T. C. a ray with endpoint F and another point Q which is on the ray. D. A line with three collinear points, and one noncollinear point. lesson 1.1 Geometry.notebook September 09, 2015 A postulate, or axiom, is a statement that is accepted as true without proof. At some point, we just have to stop asking why? lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 line 1 line 2 plane 1 line m e 2 p lan lesson 1.1 Geometry.notebook September 09, 2015 lesson 1.1 Geometry.notebook September 09, 2015 5. What are the three undefined terms in Geometry? In your opinion, why are these terms the building blocks of geometry? lesson 1.1 Geometry.notebook September 09, 2015 Homework: Due Next Class 1.1 pg 9 #317 lesson 1.1 Geometry.notebook September 09, 2015 Class Rules, Procedures, and Supplies • Cell phones, music ear buds • Bathroom • Turning in Homework • Correcting Homework • Late homework • Prepared, Prompt, and Polite • Supplies needed • Daily routine • Quiz or test almost every week • Food, Drink, and Gum OK lesson 1.1 Geometry.notebook September 09, 2015
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