## RWA Congruent Angles and Angle Bisectors

### Topic

City Planning

### Vocabulary

- Incenter
- Angle Bisector

### Student Exploration

#### You need to find a location for a hospital that is located equal distance from three main areas of town. OR you need to find the best place to meet up with our friends so that every one travels and equal distance. How do you use angle bisectors to do this?

The incenter is the point of concurrency (the point where three or more lines meet) of the 3 angle bisectors of a triangle. This point is also an equal distance from the 3 vertices of a triangle. Read more here: http://www.mathopenref.com/triangleincenter.html

The Circumcenter (the 3 perpendicular bisectors of a triangle)

Read more here ... http://www.mathopenref.com/trianglecenters.html

### Extension Investigation

Hospital Locator - http://illuminations.nctm.org/LessonDetail.aspx?id=L661

Google Maps Meet up meeting spot locator - http://www.technologyintegrationineducation.com/profiles/blogs/geogebra-a-christmas-story

#### Layering (optional)

Centers of triangles Learning Task - http://gadoe.georgiastandards.org/DMGetDocument.aspx/Lesson-Plan-Centers-of-Triangles-Learning-Task.pdf?p=6CC6799F8C1371F6A6CA7041E5EEF6A489A93CF0BA52FEA1D0F142DB6272F652&Type=D

Centers of Triangles - http://www.mathopenref.com/trianglecenters.html

Congruent