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Download 7.1- Triangle Application Theorems
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Transcript
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
