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Published byCaitlin Angel Stevens Modified over 9 years ago
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Bellwork (Turn in on ½ sheet!) If is a median, is it also an altitude?
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7.1 Triangle Application Theorems Students will be able to: Apply the Angle Sum, Exterior Angle and Midline Theorems.
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Angle Sum Theorem The sum of the interior angles of a triangle is __________!
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Ponder?!? Find the m<1.
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Exterior Angle Theorem (Toolbox!) An exterior angle of a triangle is equal to the sum of the two remote interior angles of a triangle.
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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.
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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.
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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.
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Midline (Defn) Midline (Defn) The segment connecting the midpoint of two sides of a triangle.
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Midline Theorem (Toolbox!) The midline of a triangle is parallel to and ½ the length of the third side.
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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?
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Ticket to Leave Take out a ½ sheet paper. Do Pg. 299 #4. When you are finished, turn it on the desk up front.
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Homework Pg. 298 # 1-3, 5-12 all, 15, 18
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Example 2 Find the measures of the numbered angles.
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