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# Geom 1point5

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### Geom 1point5

1. 1. Segment & Angle Bisectors Objectives: - Bisect a segment - Bisect an angle
2. 2. Bisecting a Segment <ul><li>The midpoint of a segment is the point that divides, or bisects , the segment into two congruent segments. </li></ul><ul><li>In your book, red congruence marks identify congruent segments in diagrams </li></ul><ul><li>M is the midpoint of AB if M is on AB and AM=MB </li></ul>A B M
3. 3. Bisecting a Segment <ul><li>A segment bisector is a segment, ray, line, or plane that intersects a segment at its midpoint. </li></ul><ul><li>Line CD is a bisector of segment AB </li></ul>A B M D C
4. 4. Construction <ul><li>You can use a compass and a straightedge to construct a segment bisector and midpoint of a segment. A construction is a geometric drawing that uses a limited set of tools, usually a compass and a straightedge. </li></ul>
5. 5. Construct a bisector.
6. 6. Midpoint Formula <ul><li>If you know the coordinates of the endpoints of a segment, you can calculate the coordinates of the midpoint by taking the average of the x coordinates and y coordinates. </li></ul>
7. 7. <ul><li>What is M? </li></ul>2, 0 8, 0 M
8. 8. <ul><li>What is M? </li></ul>1, 7 3, 7 M
9. 9. Look at the formula <ul><li>At the top of page 35 </li></ul><ul><li>Then do Examples 1&2 together </li></ul>
10. 10. Bisecting an Angle <ul><li>An angle bisector is a ray that divides an angle into two adjacent angles that are congruent. </li></ul><ul><li>Ray FH Bisects Angle GFI because it divides the angle into two congruent angles. </li></ul><ul><li>In the book, matching congruence arcs identify congruent angles in diagrams. </li></ul>F G H I
11. 11. Construct an angle bisector
12. 12. Do examples