Find and continue the We Do from yesterday (the questions you were answering with a neighbor).
What are we doing today?
We are talking about some more properties of two types of triangles bisectors: angle bisectors and perpendicular bisectors.
Here are the relevant theorems:
What vocabulary do I need today?
Concurrent: when three or more lines intersect at one point, they are concurrent. This point of intersection is called the point of concurrency.
Circumcenter of a triangle: the point of concurrency of the perpendicular bisectors. This point is the center of the circle circumscribed about the triangle. This point does not have to be inside the triangle.
Incenter of a triangle: the point of concurrency of the angle bisectors of a triangle. This point is the center of the circle inscribed in the triangle.
Let's do some examples:
Complete these problems for a 3 (front and back)
4 work on the bottom of the 3 work!
Extra practice (one point for each page)
Related Khan Academy videos for circumcenter
Related Khan Academy videos for incenter