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1 Lesson Plan #35 Class: Geometry Date: Monday November 21st, 2011 Topic: Exterior angle of a triangle Aim: What is the relationship between the exterior angle of a triangle and the 2 remote interior angles of the triangle? Objectives: HW #35: 1) Students will know the relationship between an exterior angle of a triangle and the 2 remote interior angles of the triangle. Do Now: 1) What is it called when two simple statements are joined with the word and? A) Disjunction B) negation C) Biconditional D) conjunction 2) PROCEDURE: Write the Aim and Do Now Get students working! Take attendance Assignment #1: Complete the proof below Give Back HW Given: with exterior at vertex Collect HW Two non-adjacent interior angles and Go over the Do Now Prove: 6. Statements Reasons 1. with exterior at vertex 1. 2 and form a linear pair 2. A linear pair of angles are two angles whose sum is a straight angle. 3. 4. 4. 5. 5. 6. 6. Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. 2 Online Interactive Activity : Let’s go http://www.mathopenref.com/triangleextangle.html and see the relationship between an exterior angle of a triangle and the two remote interior angles. Assignment #1: Find Assignment #2: If the measure of the exterior angle = (3x - 10) degrees and the measure of the two remote interiors angles are 25 degrees and (x + 15) degrees, find x. Assignment #4: Find the values of and in the diagram at right. Assignment #5: Assignment #6: 3 Notice each of the interior angles of the polygons at right measures less than 180o. These are known as convex polygons. If the polygon has at least one angle measuring more than 180 o, it is called a concave polygon. Question: What do we call a polygon whose sides are all the same length and whose angles are all the same measure? Online Interactive Activity : Let’s see regular polygons in action. Let’s go to http://www.mathopenref.com/polygonregular.html So we stated that the sum of the angles of a triangle is 180 o and the sum of the angles of a quadrilateral is 360o. Let’s see how we can find the sum of the angles of a pentagon, then try to generalize a formula for the sum of the interior angles of a polygon of n sides. Examine the pentagon below. To help you discover the formula, see how many non-overlapping triangles you can create, then use this to come up with a sum of the angles of a pentagon. Try it for a six sided figure (hexagon). What is the formula for the sum of the interior angles of a polygon with n sides? Online Interactive Activity : Let’s check out the sum of the interior angles of a polygon in action. Let’s go to http://www.mathopenref.com/polygoninteriorangles.html Online Interactive Activity Let’s check out the sum of the exterior angles of a polygon, taking one exterior angle at each vertex. http://www.mathopenref.com/polygonexteriorangles.html What is the formula for the sum of the exterior angles of any polygon of n sides, taking one exterior angle at each vertex? 4 5

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posted: | 9/8/2012 |

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