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Section 6.7 Altitudes, Medians and Bisectors

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2. In isosceles DBC, DB = DC. Prove that the bisector of D is also an altitude of ... Prove LMN is isosceles. 4. In ACE, m AEC = 65 . AC AE, AD is an altitude ... – PowerPoint PPT presentation

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Title: Section 6.7 Altitudes, Medians and Bisectors


1
  • Section 6.7 Altitudes, Medians and Bisectors
  • Objective Identify and draw medians and
    altitudes of triangles.
  • Terms
  • Median of triangle - a segment from a vertex to
    the midpoint of the opposite side
  • Altitude of triangle - a perpendicular segment
    from a vertex to the line that contains the
    opposite side
  • Fun Fact - The altitude, the median, and the
    angle bisector from the vertex angle of an
    isosceles triangle to its base are all the same
    segment! They are also the same as the ?
    bisector of the base of the triangle. Think
    about it!

2
  • 2. In isosceles ?DBC, DB DC. Prove that the
    bisector of ?D is also an altitude of ?DBC.
  • 3. In ?LMN, MP is an altitude and a median.
    Prove ?LMN is isosceles.
  • 4. In ?ACE, m?AEC 65. AC ? AE, AD is an
    altitude and BE bisects ?AEC. Find each measure
    or length.

D
A
B
C
C
B
5
A
X
D
Not drawn To scale
E
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