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Drill : Wednesday 8 /28

Drill : Wednesday 8 /28. Objective: Identify the five postulates for points, lines, and planes. Geometry Lesson 1.1 Part 2. Rectangular Prism Net. Interactive Website for Prisms. Rectangular Prism Sketchpad. What is a postulate?.

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Drill : Wednesday 8 /28

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  1. Drill: Wednesday 8/28 • Objective: Identify the five postulates for points, lines, and planes.

  2. Geometry Lesson1.1 Part 2

  3. Rectangular Prism Net Interactive Website for Prisms Rectangular Prism Sketchpad

  4. What is a postulate? • A postulate, or axiom, is a statement that is accepted as true without proof. Postulates about points, lines, and planes help describe geometric properties.

  5. So, what’s a proof? • Direct Proof Example: • Consider two even integers x and y. • Since they are even, they can be written as x=2a and y=2b respectively for integers a and b. • Then the sum x + y = 2a + 2b = 2(a + b). • From this it is clear x + y has 2 as a factor and therefore is even, so the sum of any two even integers is even.

  6. Who is Euclid anyway? • Euclid was a Greek mathematician, often referred to as the "Father of Geometry." • His book Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics (especially geometry). • Euclidean geometry is an axiomatic system, in which all theorems ("true statements") are derived from a small number of axioms.

  7. Points, Lines, and Planes Postulates

  8. Wrap-Up CB and CD 2. A point on BC. Possible answer: BD Lesson Quiz: Part I 1. Two opposite rays. Possible answer: D 3. The intersection of plane N and plane T. 4. A plane containing E, D, and B. Plane T

  9. Lesson Quiz: Part II Draw each of the following. 5. a line intersecting a plane at one point 6. a ray with endpoint P that passes through Q

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