PPT-5.4 Use Medians and Altitudes

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. Comparison of Raised Medians and Two-Way Left-Turn Lanes Because raised medians are the most restrictive access management treatment, building a raised median along an arterial is often very controway 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. 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 . 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 . P. 314-315: 19-25, 29. P. 322-323: 3, 5, 7, 8, 16, 33, 35, 36. Challenge Problems. Print Triangle . Vocab. WS. Warm-Up. Three or more lines that intersect at the same point are called . concurrent lines. ?. . (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). February 2011. Fellow: Brooke . Odle. Teacher: Ms. Sanchez. Saint Vincent Academy. Lesson Overview. Introduce topic. Vocabulary and Theorem 6-1. Example Problems. Real World Application. Electrocardiograms. 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 . 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..