Today we discovered and practiced applying the last of our content in the construction unit. We are busy acquiring knowledge about and the ability to construct the four points of concurrency in triangles: orthocenter, incenter, circumcenter, and centroid. Incenter and circumcenter are the centers of the inscribed and circumscribed circles respectively. The centroid in the center of gravity or mass of a triangle. Orthocenter and Circumcenter can be outside of the triangle (obtuse) or on the triangle (right triangle). Centroid and incenter are always inside the triangle.

C-12 - The incenter of a triangle is equidistant from the sides of the triangle.

C-13 - The circumcenter of a triangle is equidistant from the vertices of a triangle.

The centroid investigation is attached below.

C-14 ... are concurrent at the centroid

C-15 .... twice...

C-16 - The centroid is the center of gravity or mass of a triangle.

Attach your cardstock in your G.T. for a sketch.

The half-worksheet of practice on constructing points of concurrency is attached below. Get this done.

The homework #16 is p 179:1-5 (no sketches necessary... just state whether circumcenter or incenter based on new conjectures), p 186:1-5 (use C-15-16), p 191:1-2,8-24. For the T/F, correct or sketch for false. For matching, answer only is enough. It is due Tues-Wed (the next block).

Quizzes must be made up by zero hour tomorrow. I am returning the quiz during the next block.

Topics will be available tomorrow as well.

The test is Thurs-Fri, Oct 19-20, about 70 pts.

C-12 - The incenter of a triangle is equidistant from the sides of the triangle.

C-13 - The circumcenter of a triangle is equidistant from the vertices of a triangle.

The centroid investigation is attached below.

C-14 ... are concurrent at the centroid

C-15 .... twice...

C-16 - The centroid is the center of gravity or mass of a triangle.

Attach your cardstock in your G.T. for a sketch.

The half-worksheet of practice on constructing points of concurrency is attached below. Get this done.

The homework #16 is p 179:1-5 (no sketches necessary... just state whether circumcenter or incenter based on new conjectures), p 186:1-5 (use C-15-16), p 191:1-2,8-24. For the T/F, correct or sketch for false. For matching, answer only is enough. It is due Tues-Wed (the next block).

Quizzes must be made up by zero hour tomorrow. I am returning the quiz during the next block.

Topics will be available tomorrow as well.

The test is Thurs-Fri, Oct 19-20, about 70 pts.