Bell Work 8/26-8/27. Outcomes I will be able to: 1) Define and Use new vocabulary: midpoint, bisector, segment bisector, construction, Midpoint Formula.

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Presentation transcript:

Bell Work 8/26-8/27

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.

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

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.

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

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

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 )

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)

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…

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…

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.

Example 1

Example 2

Example 3 workspace

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.