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5-1 Special Segments in TrianglesObjective: Use medians, angle bisectors, perpendicular bisectors and altitudes to solve problems. RELEVENCE: Construction
Perpendicular Bisector of a TriangleA line or line segment that passes through the midpoint of a side of a triangle and is perpendicular to that side. Perpendicular Bisector
Median of a Triangle A segment that joins a vertex of the triangle and the midpoint of the opposite side. Median
Altitude of a Triangle A segment from a vertex of the triangle to the line containing the opposite side and perpendicular to the line containing that side. Altitude
Angle Bisector of a TriangleA segment that bisects an angle of the triangle and has one endpoint at a vertex of the triangle and the other endpoint at another point on the triangle. Angle Bisector
Example 1: If SU is a median of ∆RST, find SR. S 4x + 11 T R 3x + 7 U
Example 2: If GM is an angle bisector, find m∠IGM. I M (x + 12)° G Hm∠IGH = (3x – 5)°
Exit Ticket Find BC if CD is a median of ∆ABC. C 3x + 8 A 4x + 5 D
5.1 Bisector, Medians, and Altitudes
DO NOW Sketch each figure. CD GH AB Line m Acute ABC XY II ST.
Unit 2 Find the Midpoint of a Line Segment Learning Goals: I can find the midpoint of a line segment by applying what I know about averages. I can solve.
Steps to finding equation of median. 1.Find midpoint of opposite side. 2.Use vertex and midpoint to find slope of median. 3.Use slope and either vertex.
1 Relationships in Triangles Bisectors, Medians, and Altitudes Section 6.1 – 6.3 Students Should Begin Taking Notes At Screen 4!!
4-7 Median, Altitude, and Perpendicular bisectors.
Medians, Altitudes and Perpendicular Bisectors
Jim Smith JCHS SECTION 5-1 spi.3.2.J. There are 3 of each of these special segments in a triangle. segments in a triangle. The 3 segments are concurrent.
CHAPTER 4: CONGRUENT TRIANGLES
Keystone Geometry. » There are four types of segments in a triangle that create different relationships among the angles, segments, and vertices. ˃Medians.
Chapter 5. Vocab Review Intersect Midpoint Angle Bisector Perpendicular Bisector Construction of a Perpendicular through a point on a line Construction.
6.1 Perpendicular and Angle Bisectors
Definition: A line that passes through the midpoint of the side of a triangle and is perpendicular to that side.
Basic Definitions in Geometry
Medians, Altitudes and Angle Bisectors. Every triangle has 1. 3 medians, 2. 3 angle bisectors and 3. 3 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.
Aim: Do Now: Ans: 5 5 miles 4 miles Ans: 3 miles P A B C
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