Geo 5.2 Circumcenter of a Triangle
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Fill in the blank: The circumcenter of a triangle is the point of intersection of the three ____________________ bisectors of a triangle. angle perpendicular center A "point of concurrency" is a fancy way of saying the.... vertex of an angle the point of view the point of intersection the midpoint of a segment Explain what the word "equidistant" means? 5.1 Point C is on the perpendicular bisector of AD, Find the length of CD A CD = 7 4.2 C B n 4.2 D 5.2 The perpendicular bisectors of the three sides of a triangle intersect to form which point of concurrency? midpoint Incenter Circumcenter Circumference    Th circumcenter can be INSIDE, OUTSIDE, or ON the triangle, depending on what type of triangle. Match the type of triangle with its correct circumcenter location. ON = Right ∆ ? INSIDE = OUTSIDE = Acute ∆ ? Obtuse ∆ ? For what type of triangle does the circumcenter fall outside the sides of the triangle? Acute triangle Obtuse triangle Right triangle Equilateral triangle  5.2 CF, CE, and CD are the perpendicularbisectors of the three sides of the triangle. What is the name of point C? Circumcenter Incenter Angle bisector Perpendicular bisector  Point C is the circumcenter. To what part of ∆LMNis the circumcenter equidistant to? To the sides To the midpoints of sides To the center To the vertices 5.2 Point C is the circumcenter which statement below is TRUE ? CF = CD = CE CL = CM = CN CD = CL = LF CM = ME = EN C is the circumcenter of ∆LMN find the following lengths CN = LM = 5.2 ME = 5 3 4 12 CM =  A circumscribed triangle, is a trianglewhose vertices lie on the edge of acircle. ∆LMN is circumscribed, what partof the circle is Point C and segmentCL and CM? Point C = interior, CL is diagonal Point C = center, CL is radius Point C = center, CL is diameter Point C = interior, CL is diameter  Find the circumcenter of the triangle. (2, 3) (3, 2) (4, 2) (3, 1) |
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