5.3 5.4 notes
TRANSCRIPT
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
Bellwork
Do problems on HW worksheet.
5.1 #2, 14
5.2 #2, 6, 8
5.1 2. x=8
14. DE = 17
5.22. AB = 26
6. yes
8. DE = 44
Formative Assessment
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
5.3 Angle Bisectors
Angle Bisector Theorem: If a point is on the < bisector, then it is equidistant from the 2 sides of the angle.
Converse of Angle Bisector Theorem: If a point is in the interior of an < and is equidistant from the sides of
the <, then it lies on the < bisector.
CA
BD
A
B
C
D
DB = DC
AD bisects <BAC
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
Incenter: The point of concurrency of 3 angle bisectors.
*The incenter always lies inside of the triangle.
PD=PE=PF
A
B
C
P E
F
D
Concurrency of Angle Bisectors Theorem: The < bisectors intersect at a point that is equidistant from the sides of the triangle.
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
5.4 Medians & Altitudes
Median: segment from a vertex to the midpoint of opposite side
Centroid: point of concurrency (intersection of medians)
Concurrency of Medians of a Triangle Theorem: The medians intersect at a point that is 2/3 of the distance from each vertex to the midpoint of the opposite side.
A C
B
P E
F
D AP = 2/3 AEBP = 2/3 BFCP = 2/3 CD
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
Altitude: perpendicular segment form a vertex to the opposite side
Concurrency of Altitudes Theorem: The lines containing the altitudes are concurrent.Orthocenter: point of concurrency of altitudes.
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
HW5.35.4 Worksheet Evens
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014
5.35.4 Angle Bisectors, Medians & Altitudes
HW worksheet evens
November 05, 2014