1. It’s Friday! Warm-Up… Quickwrite…
If there were three streets that formed a triangle, what would be the best thing to put right in the middle? Why?
Ex: “I think the best thing to put in the middle of three streets is _______________ because ___________________________.”

2. Compare and Explain…
your Warm-Up answers starting with Student #1 (1 min)

3. Round Robin…
starting with the student who wrote the least at your table (1 min)
If there were three streets that formed a triangle, what would be the best thing to put right in the middle? Why?
Ex: “I think the best thing to put in the middle of three streets is _______________ because ___________________________.”

4. Incenter of a triangle

5. Example
Find the coordinates of the circumcenter of △ABC with vertices A(0, 3), B(0, -1), and C(6, -1)

6. Practice: Answer in Socrative

7. What is the Incenter of a triangle?
The angle bisectors of a triangle are also concurrent
This point of concurrency is the incenter and is always INSIDE the triangle

8. Inscribing a Circle Within a Triangle
Because the incenter P is equidistant from the three sides of the triangle, a circle can be drawn using P as the center
The circle is said to be inscribed within the triangle

9. Example