Download 7.1- Triangle Application Theorems

Triangle Application Theorems
Lesson 7.1
Theorem 50- The sum of the measures
of the angles of a triangle is 180º.
Exterior angles of a polygon
Definition- an exterior angle of a polygon is an angle
that is adjacent to and supplementary to an interior
angle of the polygon.
More Theorems!
Theorem 51- The measure of an exterior
angle of a triangle is equal to the sum of
the measures of the remote interior
angles.
Theorem 52- A segment joining the
midpoints of two sides of a triangle is
parallel to the third side and its length is
1/ the length of the third side. (Midline
2
Theorem)
Proof of Theorem 51-
m<BCA +m<1 = 180
m<BCA + m <B =m<A = 180
m <BCA + m <1 =m <BCA + m <B +m <A
m <1 = m <B + m <A