Objective: Points of concurrency: centroid and orthocenter.

Warm up1. Point of concurrency: circumcenter.Located at the intersection of the perpendicular bisectors. Circumscribe circle to the triangle.

2. Point of concurrency: incenter.Located at the intersection of the angle bisectors. Inscribe circle to the triangle.

3. Determine when is the circumcenter inside, outside or on a side of the triangle.

4.

2. Construct the orthocenter of the given triangle. Located at intersection of the altitudes.

orthocenter

4. Construct the centroid of the triangle. Located at the intersection of medians. It is the consider the center of gravity of the triangle.

Centroid(center of gravity of the triangle)

How to memorize points of concurrency?

Assignment

Carnegie Learning Workbook

Pg 169 #5-10

Notebook Check #1

1._______08/29/14 Investigation: Which angles are congruent?

2._______09/04/14 Investigation: Finding the right bisector.

3._______09/09/14 Investigation: Angle bisecting with a compass.

4._______09/16/14 Investigation: Transformations on a coordinate plane.

5._______09/23/14 Investigation: Dilations on the coordinate plane.

6. ______09/29/14 Objective: Review transformations and symmetry.