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Date: Sec 5-4 Concept: Medians and Altitudes of a TriangleObjective: Given properties of medians and altitudes of triangles, we will solve problems as measured by a s.g.
Vocabulary and Theorems:Median of a Triangle: a segment whose endpoints are a vertex of the triangle and the midpoint of the opposite side Median
The centriod is known as a balancing pointCentroid: The centroid is the point of concurrency of the medians of a triangle. Centriod The centriod is known as a balancing point
Thm 5.7: Concurrency of Medians of a TriangleThe medians of a triangle intersect at a point that is 2/3 the distance from each vertex to the midpoint of the opposite side. 5 10
Altitude: The altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side or to the line that contains the opposite side Altitude
Orthocenter: The orthocenter is the point of concurrency of the altitudes of the triangle Orthocenter
Thm 5.8: Concurrency of Altitudes of a triangleThe lines containing the altitudes of a triangle are concurrent All altitudes intersect
4.6 Medians of a Triangle.
Geometry Chapter 5 Benedict. Vocabulary Perpendicular Bisector- Segment, ray, line or plane that is perpendicular to a segment at its midpoint. Equidistant-
Lesson 5-1 Bisectors, Medians, and Altitudes. Ohio Content Standards:
Definition: A line that passes through the midpoint of the side of a triangle and is perpendicular to that side.
5-3 Concurrent Lines, Medians, Altitudes
5.4 Medians and Altitudes A median of a triangle is a segment whose endpoints are a vertex and the midpoint of the opposite side. A triangle’s three medians.
3.7—Medians and Altitudes of a Triangle Warm Up 1. What is the name of the point where the angle bisectors of a triangle intersect? Find the midpoint of.
Medians, Altitudes, and Angle Bisectors Honors Geometry Mr. Manker.
Honors Geometry Section 4.6 Special Segments in Triangles
Introduction Think about all the properties of triangles we have learned so far and all the constructions we are able to perform. What properties exist.
Honors Analysis. Solve linear equations Write linear equations based on application problems Write linear equations involving supplements and.
Concurrent Lines Geometry Mrs. King Unit 4, Day 7.
Medians, Altitudes and Concurrent Lines Section 5-3.
5-3 Medians and Altitudes of triangles
5-3: Medians and Altitudes Medians and Altitudes in a Triangle
5-3 M EDIANS AND A LTITUDES OF A T RIANGLE Use the properties of Medians of a triangle Use the properties of Altitude of a triangle.
Chapter 5 Relationships in Triangles. Warm - Up Textbook – Page – 11 (all) This will prepare you for today’s lesson.
Chapter 5 Relationships within Triangles In this chapter you will learn how special lines and segments in triangles relate.
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