1. Bell Work 8/26-8/27

2. Outcomes I will be able to: 1) Define and Use new vocabulary: midpoint, bisector, segment bisector, construction, Midpoint Formula and angle bisector. 2) Bisect a segment/angle by measuring, by folding, and by algebraic reasoning. 3) Use the Midpoint Formula to calculate segment midpoints on a coordinate plane.

3. Agenda BellWork Outcomes Agenda Announcements – Quiz review will be Weds/Thurs/Friday - Honors Application Paper Folding Investigation 1.5 Daily Notes and PPt IP - Worksheet

4. Folding Bisectors Activity Every Person needs: Black/dark sharpie or felt tip marker 2 sheets of paper Every Table Needs: Ruler Protractor Textbook open to page 33 Follow instructions and then write answers to the two questions under your BellWork in your notebook.

5. 1.5 Segment and Angle Bisectors Some Definitions: Midpoint of a Segment – is the point that divides, or bisects, the segment into two congruent segments. – M is the midpoint of AB if M is on AB – and AM = MB MA B

6. Segment Bisector – is a segment, ray, line, or plane that intersects a segment at its midpoint. CD is a bisector of AB. A M B D C

7. Midpoint Formula If A(x 1, y 1 ) and B(x 2, y 2 ) are points in a coordinate plane, then the midpoint of AB has coordinates M A(x 1, y 1 ) B(x 2, y 2 )

8. Midpoint Formula When given two endpoints, simply plug into the midpoint formula after labeling the points. Midpoint = We Do - Find the midpoint of points: D(3,5) and E(-4,0) You Do - Find the midpoint of the segment AB: with A(-2,6) and B(3,10)

9. Midpoint Formula We Do - The midpoint of segment XY is M(3,-4). One endpoint is Y(-3,-1). Find the coordinates of point X. Draw a diagram…

10. Midpoint Formula You Do- The midpoint of segment JK is M(0,0.5). One endpoint is J(2,-2). Find the coordinates of point K. Draw a diagram…

11. Angle Bisector An Angle Bisector - is a ray that divides an angle into two adjacent angles that are congruent. Ray CD bisects ∠ ACB. ∠ ACD and ∠ BCD are congruent.

12. Example 1

13. Example 2

14. Example 3 workspace

15. Exit Ticket 1)Use complete sentences for the following: What is a midpoint? What is a segment Bisector? 2) Find the coordinates of the midpoint of AB, where A(5,4) and B(-3,2) 3)Solve for x.