Section 6.7 Altitudes, Medians and Bisectors

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• 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!

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• 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
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