Bellwork (Turn in on ½ sheet!) If is a median, is it also an altitude?

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Presentation transcript:

Bellwork (Turn in on ½ sheet!) If 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) 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.