Geo 5.1-5.5 Medians, Centroids & Inequalities

Angle Bisector perpendicular midpoint perpendicular bisector Which term best describes ray LJ? A X Y Given the following diagram what can you conclude? Z ∡A ≅ ∡Y AZ ≅ YZ ∆YXZ ≅ ∆AXZ all of the above The three angle bisectors of a triangle intersectto form which point of concurrency? Circumcenter Circumference midpoint Incenter The perpendicular bisectors of thethree sides of a triangle intersect to form which point of concurrency? Circumference Incenter Circumcenter midpoint What is the name of point C in the diagram below? Circumcenter Incenter Angle bisector Perpendicular bisector What is the name of point P in the diagram below? Circumcenter Incenter Angle bisector Perpendicular bisector C is equidistant towhich of the following points? CF = CD = CE CM = ME = EN CD = CL = LF CL = CM = CN Given the following diagram which statement is correct? PX = PY = PZ BY = BZ = ZC PA = PB = PC PX = PC = CZ A line that goes from the vertex of an angle to the midpoint of the opposite side of a triangle is called? circumcenter Incenter median centroid D is the intersection point of two medians which is the correct relationship of two segments? CD = DE CD = ⅔CE CD = ⅓CE DE = ½CE A E D C G B D is the intersection point of two medians If AG = 12 find AD and DG AD = DG = A E D C G B DB = DE = D is the intersection point of two medians Find the following lengths in the triangle AC = CE = A F 2 7.1 E D 6 C G B Given that B is the centroid of ∆JHK Which of the following is true? HB = ⅔ HD CB = ½ KB BE = ⅓ JE All of the above DB = DE = D is the intersection point of two medians Find the following lengths in the triangle GC = CE = A F 5 E D 8 C G 18 B Find the coordinates of the midpoint of AB. If A = (-4,3) and B = (6, 1) midpoint = Give your answer as a coordinate with NO spaces ex. (-3,7) Given ∆HJM with the following side lengths. Which of the following statements is correct? ∡H < ∡J < ∡M ∡M < ∡H < ∡J ∡M < ∡J < ∡H ∡J < ∡H < ∡M H 4.3 J 7.2 5 M Given ∆HJM with the following angle measures. Which of the following statements is correct? HJ < JM < HM MH < HJ < JM HJ < HM < MJ JM < HM < HJ H _{62o}J _{80o}_{38o}M Which of the following are the possible lengths of a triangle?? 3, 9, 12 2, 4, 6 5, 12, 13 2.5, 3.9, 7.3 Which set of numbers are lengths of a triangle? 4, 5, 8 1, 1, 2 6, 2, 7 3, 5, 4 Which set of numbers are the possible lengths of a triangle? 3, 3, 6 4, 5, 1 8, 11, 2 5, 5, 5 ∢1 ∢2 ∢3 Cannot be determined Which angle is the greatest? 5 1 2 7 9 3 Which statement is true? A B D 17 14 C m<ABD = m<ADC m<BCA < m<ACB m∢BAC > m∢DAC AB = AD |

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