PPT-6-1 Medians Objective: To identify and construct medians in triangles

February 2011 Fellow Brooke Odle Teacher Ms Sanchez Saint Vincent Academy Lesson Overview Introduce topic Vocabulary and Theorem 61 Example Problems Real World Application Electrocardiograms. 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 controver 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 (. 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. (NOT TO SCALE) LEVEL SECTIONS n NO DRY WEATHER FLOW DRY WEATHER FLOW SUPERELEVATED OR CROSSFALL SECTIONS NO DRY WEATHER FLOW DRY WEATHER FLOW M.S. Kramer - 1966 R.W. F. Figure E 466 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. CENTROID. (Section 24.3 in textbook). A . median of a triangle . is a segment from a vertex to the midpoint of the opposite side.. The point of concurrency of the three medians of a triangle 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”. . http://. www.mathwithmccarthy.com. /1/post/2012/01/balancing-. act.html. Outline of Investigation. Investigate the intersection of the medians of a given triangle.. Six parts. Draw one example on graph paper.. 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 .