Concurrent Line Notes.notebook · Concurrent Line Notes.notebook 1 September 30, 2014 Sep 307:29 AM...
Transcript of Concurrent Line Notes.notebook · Concurrent Line Notes.notebook 1 September 30, 2014 Sep 307:29 AM...
![Page 1: Concurrent Line Notes.notebook · Concurrent Line Notes.notebook 1 September 30, 2014 Sep 307:29 AM POD Factor: x2 + 7x 18 Nov 46:38 PM 5.1 and 5.2 Bisectors, Medians, and Altitudes](https://reader036.fdocuments.us/reader036/viewer/2022071102/5fdb2fd75ee2512fe8229ec9/html5/thumbnails/1.jpg)
Concurrent Line Notes.notebook
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POD
Factor:
x2 + 7x 18
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5.1 and 5.2 Bisectors, Medians, and AltitudesConcurrent: when 3 or more lines intersectPoint of Concurrency: the point at which 3 or more lines intersect
Circumcenter : pt of concurrency of the perpendicular bisectors equidistant to the verticesthe center of a circle that is circumscribed about the triangle
Circumscribed about: a circle that is on all 3 vertices of a triangle
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right
obtuseacute Perpendicular Bisectors
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B
A
C
PE
D
F
Solve for x:
1)AP=17.5 BP=x
2) CP = 5x+4 AP= 2x+10
![Page 3: Concurrent Line Notes.notebook · Concurrent Line Notes.notebook 1 September 30, 2014 Sep 307:29 AM POD Factor: x2 + 7x 18 Nov 46:38 PM 5.1 and 5.2 Bisectors, Medians, and Altitudes](https://reader036.fdocuments.us/reader036/viewer/2022071102/5fdb2fd75ee2512fe8229ec9/html5/thumbnails/3.jpg)
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Incenter:pt of concurrency of the angle bisectors equidistant from the sides the center of a circle that is inscribed in the triangle
Inscribed in: circle that is inside the triangle
1) XI = 7 YI = x
2) ZI = 4x+2 YI = 2x+6
Solve for x:
Angle Bisectors
Nov 106:37 PM
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Median: segment whose endpoints are a vertex and the midpoint of the opposite sideCentroid: point of concurrency of a triangles medians
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Altitude: a perpendicular segment from the vertex to the line containing the opposite sideOrthocenter: point of concurrency of the altitudes
Nov 47:33 PM
![Page 6: Concurrent Line Notes.notebook · Concurrent Line Notes.notebook 1 September 30, 2014 Sep 307:29 AM POD Factor: x2 + 7x 18 Nov 46:38 PM 5.1 and 5.2 Bisectors, Medians, and Altitudes](https://reader036.fdocuments.us/reader036/viewer/2022071102/5fdb2fd75ee2512fe8229ec9/html5/thumbnails/6.jpg)
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Perpendicular Bisector: Circumcenter, Equadistant to Vertices
Angle Bisectors: Incenter, Equadistant to the Sides
Medians: from the vertex to the midpoint of the opposite side
Centroid, 2/3 to vertex &1/3 to side
Altitudes: from the vertex & perpendicular to the opposite side Orthocenter
p. 339
Dec 19:57 AM
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Homework: p.330 #17-29oddp.340 #5-9odd, 16-19all
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