Please help me to fill in the blanks thank you 1 Name each p

1. Name each point of concurrency related to a triangle. a. the intersection of the perpendicular bisectors of the sides b. of triangle\'s angle the c. the intersection of the triangle\'s medians d. the intersection of the lines that contain the triangles altitudes intersection the bisectors 2. Determine whether each statement is always, sometimes, or never true. a. The orthocenter is a vertex of the triangle. b. The centroid is in the interior of the triangle. c. The circumcenter is the midpoint of one of the triangle\'s sides. d. The incenter is located in the exterior of the triangle.

Solution

1(a) The Circumcenter

(b) The Incenter

(c) The Centroid

(d) The Orthocenter

2(a) Never (as the orthocenter is the intersection of altitudes which are drawn from the vertex.)

(b) Always (as it is the center of the triangle)

(c) Sometimes (special case is the right angled triangle)

(d) Never (it is the center of a circle drawn inside a triangle, so can never be outside)