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Euclid’s Five Postulates

Euclid’s Five Postulates. List the five postulates Sketch a picture State the limits of postulate #5. B. A. Postulate #1. 1. A line segment can be drawn joining any two points. D. C. Given line segment CD , you can extend it to make line CD. Postulate #2.

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Euclid’s Five Postulates

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  1. Euclid’s Five Postulates • List the five postulates • Sketch a picture • State the limits of postulate #5

  2. B A Postulate #1 1. A line segment can be drawn joining any two points

  3. D C Given line segment CD, you can extend it to make line CD Postulate #2 • Any line segment can be extended indefinitely to form a line

  4. Postulate #3 • Given a line segment, a circle can be drawn having the segment as a radius and one endpoint as a center

  5. G F Postulate #4 • All right angles are congruent E

  6. l P Postulate #5 • If l is any line and P is any point not on l, then there exists exactly one line through P that is parallel to l.

  7. Limit of postulate #5 • Postulate #5 is only true in a _______ and cannot be applied to a_________ plane curve

  8. classwork • Get a color paper • markers • Fold into fourths • In each box write and illustrate each of Euclid’s postulates, including the limitation • In one of the last boxes answer the following questions.

  9. D E Answer each question and State which of Euclid's postulate you would use to prove the following. 1. Given HS I can make a HS? • Given point A and point Z how many lines can I make • Given the two angles, what statement can I make? • What shape can I make if I am given a line segment where one point is an endpoint, and I rotate the segment around the endpoint?

  10. You must know (have memorized) the 5 postulates for test on Friday • Homework: Make note cards on the 5 postulates. Come up with a way to help you memorize them.

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