Geometry Ch 5 Review of Centers of a triangle
NAME _________________
Circumcenter of a triangle--The point of concurrency (intersection) of the _________________
of a triangle.The circumcenter is equidistant from the _________ of a triangle. (think towns…)
It will (always, sometimes, never)__________ lie inside the triangle.
Draw a sketch of each case—acute, obtuse, right triangle.
Incenter of a triangle—The point of concurrency (intersection) of the ________________ of a
triangle. The incenter is _____________from the sides of the triangle. It will always lie
________the triangle. Draw a sketch of each case—acute, obtuse, right triangle.
Centroid of a triangle—the point of concurrency (intersection), of the __________ of a
triangle. The centroid is also called the ____________—the exact center of the triangle. It will
always lie ______ the triangle. The centroid splits each of the __________ by thirds.
Draw a sketch of each case—acute, obtuse, right triangle
Orthocenter of a triangle—the point of concurrency (intersection) of the lines containing the
_________ of a triangle. It will (always, sometimes, never)____________lie inside the triangle.
Draw a sketch of each case, acute, obtuse, right triangle.
Name the special segments and point of concurrency of each triangle.
Triangle XYZ has vertices X(0,0), Y(-4,0), and Z(0,6). Find the coordinates of the indicated
point.
The centroid of triangle XYZ
the orthocenter of triangle XYZ