Geom4-4
- 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. Geom44.notebook November 09, 2011 Questions?? 2
- 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. 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. 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