Warm Up 89 1 Given the following endpoints

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

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

Euclid’s Five Postulates 1) List the five postulates 2) Sketch a picture 3) State the limits of postulate #5

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

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

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

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

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. l P

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

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.

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? 2. Given point A and point Z how many lines can I make 3. Given the two angles, what statement can I D make? E 4. 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?

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.