PDF-three altitudes (or the lines containing the altitudes) of a triangle

. Section 5.2 page 314-320. Guiding Question: How can a sculptor who creates mobiles use center of gravity to balance objects?. Vocabulary. Median of a Triangle: . a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite sides (. Pg. 327 # 10-26 Even. 10. PS = 9. 12. EG = 10. 14. X = 3, SW = 16. 16. . 18. CF. 20. DA & DB. 22. <DBA = 17. 24. XA = 4. 26. PN = 30. Ms. Andrejko. 5-2 Medians and Altitudes of Triangles. Real World. Concurrent Lines, Medians, and Altitudes. Objectives:. To identify properties of perpendicular bisectors and angle bisectors. To identify properties of medians and altitudes of triangles. Concurrent. Konstantin Vinnikov & Eric . Hohman. (Office of State Climatologist for Maryland). Russell Dickerson (Atmospheric and Oceanic Science, University of Maryland). Joel . Dreessen. (Maryland Department of the Environment. Objectives. Use properties of medians. Locate the . centroid. Use properties of altitudes. Locate the orthocenter. A . median. . . is . a segment . from a vertex . of a . ∆ . to the . midpoint of the . Hubarth. Geometry. Median of a Triangle. - is a segment from a vertex to the midpoint of the opposite side.. Ex 1. Draw a Median. S. T. R. 4. 5. 6. Solution. T. R. 4. 5. S. 3. 3. Centroid. - the three medians of a triangle intersect at one point. This point is called the. Median of a Triangle. A line segment connecting a vertex of a triangle to the midpoint of the opposite side. On a piece of graph paper, graph the triangle with vertices A(2, 1) B(5, 8) C(8, 3). . Find the midpoint of each side and label the midpoint opposite A “D”, opposite B “E”, opposite C “F”. . Circumcenter. & . Incenter. Perpendicular bisectors and angle bisectors within triangles. More paper triangle folding!. Fold an acute triangle so you create a perpendicular bisector of each side.. Triangles’ Medians and Altitudes. Definition: Median. A triangle’s median is a segment whose endpoints are a vertex and the midpoint of the opposite side.. Like with the perpendicular and angle bisectors, a triangles’ medians are concurrent.. Section 5-4. Medians. Median of a triangle. : segment whose endpoints are a vertex and the midpoint of the opposite side. A triangle’s three medians are always . concurrent. .. Theorem 5-8. Concurrency . ?. . (0,1.6). 3. Solve for x. x=3. x=5. Where should the fire station be placed so that it is equidistant from the grocery store, the hospital, and the police station?. (1,1). A . ____________________. is . a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side.. Every triangle has three medians, and the medians are concurrent.. The point of concurrency of the medians of a triangle is the . The Federal Aviation Administration FAA is the government agency responsible for aviation safety We welcome information from citizens that will enable us to take corrective measures including legal en Presentation by: Iza Ogilvie. Jack A. Wolfe,* Howard E. . Schorn. , Chris E. Forest, Peter Molnar - 1997. Estimate paleo-altitudes of the Basin and Range Province.. Analyses using 12 mid-Miocene floras from western Nevada..