1. Median - Centroid
Altitude - Orthocenter
Angle Bisector - Incenter
Perpendicular Bisector - Circumcenter
2. Incenter
3. y = 29
4. Sketch a triangle ABC and draw the three altitudes (perpendicular lines from each vertex to the opposite side). The point where the three altitudes intersect is the orthocenter, labeled G.
5. BC = 10
CD = 7
EC = 26
CA = 20
FA = 6.5
EF = 13
6. Sketch a triangle RST and draw the perpendicular bisectors of each side. The point where the three perpendicular bisectors intersect is the circumcenter, labeled L.
7. Centroid - Inside
Circumcenter - Outside
Incenter - Inside
Orthocenter - Outside
8. Circumcenter
9. Incenter
Parent Tip: Review the logic above to help your child master the concept of center worksheet.