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5.3 What is the intersection point of the three medians of a trianglecalled? circumcenter Incenter median centroid The 3 perpendicular bisectors of a triangle form the... The 3 angle bisectors of a triangle form the... The 3 medians of a triangle form the... Incenter ? circumcenter ? Centroid ? Definition: Centroid- the point of concurrency of the three medians of a triangle. Which point is the centroid? Point E Point B Point F Point D A G B D E F C 5.3 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 Fact: The centroid breaks the median up into 2 segments. The segment from the vertex to the centroid is twiceas long as the segment from the centroid to the midpoint. Given: Centroid B, which statement is true? AB = BC AB = 2•BC AB = ½•BC AB = 4 • BC A B C D is the centroid What is the ratio of the lengths of the two parts (AD:DG) of segment AG? 3:1 1:3 2:1 2:3 A E D C G B Point B is the centroid of the triangle with AB = 12. Find the following measures. AC = BC = A B C 5.3 D is the intersection point of two medians If AG = 15 find AD and DG AD = DG = A E D C G B D is the intersection point of two medians Find the following lengths in the triangle AC = CE = A F 4 7 E D 9 C G B DB = DE = D is the intersection point of two medians Find the following lengths in the triangle A F 4 7 E D 9 C G B 5.4 Recall the midpoint formula: Find the coordinates of the midpoint of AB. If A = (-4,9) and B = (8,-1) midpoint = Give your answer as a coordinate with NO spaces ex. (-3,7) 5.3 D is the centroid of the triangle ABC If CD = 18 find DE and CE DE = CE = A E D C G B D is the centroid ofthe triangle ABC If DE = 2 find CD and CE CD = CE = A E D C G B Find the coordinates of the midpoint of AB. If A = (2,10) and B = (4,-4) midpoint = Give your answer as a coordinate with NO spaces ex. (-3,7) |