Transcript 5-2 Medians and Altitudes of Triangles

5-1 HW ANSWERS
 Pg. 327 # 10-26 Even
10. PS = 9
12. EG = 10
14. X = 3, SW = 16
16.
18. CF
20. DA & DB
22. <DBA = 17
24. XA = 4
26. PN = 30
5-2 Medians and Altitudes of
Triangles
MS. ANDREJKO
Real World
Vocabulary
 Median- a segment with endpoints being a vertex of
a triangle and the midpoint of the opposite side
 Centroid- the point of concurrency of the medians
of a triangle
 Altitude- a segment from a vertex to the line
containing the opposite side and perpendicular to
the line containing that side
 Orthocenter- The lines containing the altitudes of
a triangle are concurrent, intersecting a point called
the orthocenter
Theorems
 5.6- The angle bisectors of a triangle intersect at a
point called the incenter that is equidistant from
each side of the triangle.
 5.7- The medians of a triangle intersect at a point
called the centroid that is two thirds of the distance
from each vertex to the midpoint of the opposite
side.
Examples/Practice
Examples/Practice