3 choose the best answer 4 a triangle has coordinates at a0 6 5 lines j and k contain medians of def b8 6 and c5 0 cd is a median of find y and z the triangle and ce is an altitude of the triangle which is a true statement a the coordinates of d and e are the same b the distance between d and e is 1 unit. 5 3 practice a medians and altitudes of triangles fill in the blanks to complete each definition 1 a median of a triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side 2 an altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side 3. 5 2 practice medians and altitudes of triangles a c f e d p b 18 30 3 7 26 45 36 54 3 6 9 24 36 12 4 3 2 3 2 1 0 9 she needs to hang each triangle from its center of gravity or centroid which is the point at which the three medians of the triangle intersect 15 13. Section 63 medians and altitudes of triangles 321 finding the centroid of a triangle find the coordinates of the centroid of rst with vertices r2 1 s5 8 and t8 3 solution step 1 graph rst step 2 use the midpoint formula to fi nd the midpoint v of rt and sketch median sv v 2 8 2 1 3 2. 51 perpendiculars and bisectors 52 bisectors of a triangle 53 medians and altitudes of a triangle 54 midsegment theorem 55 inequalities in one triangle 56 indirect proof and inequalities in two triangles
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