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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 Special Segments in Triangles Learn about Perpendicular Bisector Learn about Medians Learn about Altitude Learn about Angle Bisector.
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1Geometry Lesson: Median, Altitude, Angle Bisector Aim: What is the median, altitude and angle bisector of a triangle? Do Now: 1) What is the median of.
Special Segments in Triangles Section 5-1. Perpendicular Bisector - a line or line segment that passes through the midpoint of a side of a triangle and.
1 Def: Median Def: A median of a triangle is a line segment that joins any vertex of the triangle to the midpoint of the opposite side. Every triangle.
Perpendicular Bisectors ADB C CD is a perpendicular bisector of AB Theorem 5-2: Perpendicular Bisector Theorem: If a point is on a perpendicular bisector.
5-2 Median & Altitudes of Triangles The student will be able to: 1. Identify and use medians in triangles. 2. Identify and use altitudes in triangles.
Section 4-7 Medians, Altitudes and Perpendicular Bisectors.
Day 7 In geometry, a median of a triangle is a line segment joining a vertex to the midpoint of the opposing side. Every triangle has exactly three medians;
Warm Up Announcements Test Friday Homework: TEXAS Practice Test Pg. 194.
Lesson 12 – Points of Concurrency II. Page 53 The point of concurrency of the medians is known as the centroid which is the center of gravity.
Finding Equations of Lines If you know the slope and one point on a line you can use the point-slope form of a line to find the equation. If you know the.
1. Construct the following angles, 30, 45, 60 and 90. Construct an equilateral triangle for 60, bisect one of the angles for 30. Construct a perpendicular.
Points of Concurrency The point where three or more lines intersect.
Median, Angle bisector, Perpendicular bisector or Altitude Answer the following questions about the 4 parts of a triangle. The possible answers are listed.
Unit 2 Test Review Geometry WED 1/22/2014. Pre-Assessment Answer the question on your own paper.
5.3: Concurrent Lines, Medians and Altitudes Objectives: Students will be able to… Identify properties of perpendicular bisectors and angle bisectors Identify.
What is an Isosceles Triangle? A triangle with at least two congruent sides.
6.1 Perpendicular and Angle Bisectors. Geogebra Warm-up With geogebra, try to create a diagram of two triangles sharing a side where the longest side.
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.
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Medians, Altitudes and Angle Bisectors. Every triangle has 1. 3 medians, 2. 3 angle bisectors and 3. 3 altitudes.
5.2: Bisectors in Triangles Objectives: To use properties of perpendicular and angle bisectors.
Definition: A line that passes through the midpoint of the side of a triangle and is perpendicular to that side.
MEDIANS AND ALTITUDES OF TRIANGLES (SPECIAL SEGMENTS)
SPECIAL SEGMENTS IN TRIANGLES KEYSTONE GEOMETRY. 2 SPECIAL SEGMENTS OF A TRIANGLE: MEDIAN Definition of a Median: A segment from the vertex of the triangle.
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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.
Are YOU Ready? for the Triangles Test 1. What is the point of concurrency for the altitudes? A)Circumcenter B)Incenter C)Centroid D)Orthocenter 2.
DO NOW Sketch each figure. 1)CD 2)GH 3)AB 4)Line m 5)Acute ABC 6)XY II ST.
Median and Altitude of a Triangle Sec 5.3 Goal: To use properties of the medians of a triangle. To use properties of the altitudes of a triangle.
5.3 – Medians and Altitudes of a Triangle. Median = a segment from one vertex to the opposite midpoint of a Δ. All 3 medians intersect at the centroid.
Warm-up with 4.2 Notes on Isosceles Triangles 2) Copy Angle EBC and name it Angle LMN ) Copy EC and add.
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CHAPTER 4: CONGRUENT TRIANGLES Section 4-7: Medians, Altitudes, and Perpendicular Bisectors.
Honors Analysis. Solve linear equations Write linear equations based on application problems Write linear equations involving supplements and.
1 Objectives To define, draw, and list characteristics of: –Midsegments –Altitudes –Perpendicular Bisectors –Medians.
9/11/ : Special Segments in Triangles Perpendicular Bisectors of a Triangle Defn: Perpendicular Bisector of a Triangle: A segment is a perpendicular.
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Keystone Geometry. » There are four types of segments in a triangle that create different relationships among the angles, segments, and vertices. ˃Medians.
Triangle – a three sided polygon (straight sides; closed) A B C 3 sides: 3 angles: 3 vertices: A, B, C.
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Basic Definitions in Geometry. Acute Angle An angle that measures between 0 and 90 degrees.
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