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Warm Up 8/9

Warm Up 8/9. Given the following endpoints, find the midpoint. (-3, -7) and (-6,2) (5, -9) and (-7, -25) Given the following endpoint and midpoint, find the other endpoint. M(-5, 9) E(-8,9). Simplify:. Answers:. 1. a) (-4,5, -2.5) b) (-1, -17) 2. (-2,9) 3. -7 4. 46.

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Warm Up 8/9

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  1. Warm Up 8/9 • Given the following endpoints, find the midpoint. • (-3, -7) and (-6,2) • (5, -9) and (-7, -25) • Given the following endpoint and midpoint, find the other endpoint. • M(-5, 9) E(-8,9) Simplify:

  2. Answers: 1. a) (-4,5, -2.5) b) (-1, -17) 2. (-2,9) 3. -7 4. 46

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

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

  5. 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

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

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

  8. 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.

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

  10. 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.

  11. 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?

  12. 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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