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Special segments and points of concurrency in triangles — Homework
Match each fact to the correct point of concurrency, then solve for the unknown length.
- 1.Point O is the circumcenter of triangle RST, and OR = 8.5. Find OS and OT.
- 2.Point I is the incenter of triangle UVW, and I is 4.2 units from side UV. How far is I from side VW?
- 3.Median from vertex Y has centroid C, with YC = 18 (the longer piece). Find the shorter piece CM and the whole median YM.
- 4.Name the point of concurrency formed by the three altitudes of a triangle, and describe when it can lie outside the triangle.
- 5.A triangle's incenter and centroid are always inside the triangle, but its circumcenter and orthocenter are not always. Explain what makes the incenter and centroid special.
🌲 Homeschool of the FutureTenth Grade · Math · week 17 homework