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# Geom4-4

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### Geom4-4

1. 1. Geom4­4.notebook November 09, 2011 BELL WORK:  If CD is the hypotenuse of a right  triangle CAD, find all possible values  for the coordinates of A. (p.183 #8) y 5 4 3 D 2 1 x C ­5 ­4 ­3 ­2 ­1 0 1 2 3 4 5 ­1 ­2 ­3 ­4 ­5 Agenda for the day: • questions on p.182 #2­7 • 4.4 ­ The equidistance theorems • exit slip 1
2. 2. Geom4­4.notebook November 09, 2011 Questions?? 2
3. 3. Geom4­4.notebook November 09, 2011 ` 4.4 ­ The Equidistance Theorems Before we begin, use pp.184 and 185 to write a definition for  each of the following words: distance ­  equidistant ­  perpendicular bisector ­  Postulate: A line segment is the shortest path between two points. Theorem: If two points are each equidistant from the endpoints of a  segment, then the two points determine the perpendicular bisector of  that segment. P A B Q 3
4. 4. Geom4­4.notebook November 09, 2011 Theorem: If a point is on the perpendicular bisector of a segment,         then it is equidistant from the endpoints of that segment. PQ is the perpendicular bisector of AB. P A Q B Given:    1 =    2 A 3 =    4 Prove: AE    bis. BD 1 E 2 B D 3 4 C 4
5. 5. Geom4­4.notebook November 09, 2011 Given: AB = AD ; BC = CD A Prove: BE = ED C B D E EXIT SLIP: p.187 #1 You will need two points that are equidistant from A  and B. One is in your given. The other can be stated  after you draw auxiliary lines. Homework: p.187 #2­6 due Thursday 5