1. December 7, 2016 5-2: Perpendicular and Angle Bisectors
Geometry
December 7, 2016
5-2: Perpendicular and Angle Bisectors

2. DO NOW 𝐴𝐶 is parallel to… If AB = 10, then YZ = If XY = 13, then BZ =
What is the midpoint of 𝐴𝐵 ?

3. Agenda
Announcements (2nd hour only)
Do Now
Review
Notes
Practice

4. I can identify and apply triangle midsegments, medians, and altitudes.

5. Midsegment Properties
A midsegment is exactly half the length of its parallel side.

6. Perpendicular Bisector
Bisector: Cuts into congruent parts Perpendicular: Forms a right angle

7. Perpendicular Bisector
If 𝐶𝐷 is the perpendicular bisector of 𝐴𝐵 , then 𝐴𝐶 ≅ 𝐵𝐶 .

8. C is the same distance from A and B, so it is EQUIDISTANT to A and B.

9. PRACTICE: Calculate x

10. PRACTICE: Calculate n

11. Angle Bisector
Angle Bisector: A ray which divides an angle into two congruent angles.

12. Angle Bisector
Every point on an angle bisector is equidistant to the two sides of the angle.

13. Angle Bisector
𝑚∠𝑆𝑄𝑃≅𝑚∠𝑆𝑄𝑅⇔ 𝑆𝑃 ≅ 𝑆𝑅

14. PRACTICE: Calculate x

15. PRACTICE: Calculate x

16. KEY TAKEAWAY
Perpendicular and angle bisectors create CONGRUENT SEGMENTS because ALL POINTS along a bisecting line are equidistant.

17. ADDITIONAL PRACTICE