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Bellwork (Turn in on ½ sheet!) • If DB is a median, is it also an altitude? 7.1 Triangle Application Theorems Students will be able to: Apply the Angle Sum, Exterior Angle and Midline Theorems. Angle Sum Theorem • The sum of the interior angles of a triangle is __________! Ponder?!? • Find the m<1. Exterior Angle Theorem (Toolbox!) • An exterior angle of a triangle is equal to the sum of the two remote interior angles of a triangle. Example 1 • In triangle ABC, the sum of m<A and m<B = 100, the sum of m<B and m<C = 140. Find the measure of <A. Example 2 • If one of the angles of a triangle is 80 degrees, find the measure of the angle formed by the bisectors of the other two angles. Example 3 • If one of the angles of a triangle is 40 degrees, find the measure of the angle formed by the bisectors of the other two angles. Midline (Defn) • The segment connecting the midpoint of two sides of a triangle. Midline Theorem (Toolbox!) • The midline of a triangle is parallel to and ½ the length of the third side. Example 4 • Given: EFGH is a rectangle. FH = 20; J, K, M, and O are midpoints. a. Find the perimeter of JKMO. b. What is the most descriptive name for JKMO? Ticket to Leave • Take out a ½ sheet paper. • Do Pg. 299 #4. • When you are finished, turn it on the desk up front. Homework • Pg. 298 # 1-3, 5-12 all, 15, 18 Example 2 • Find the measures of the numbered angles.