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4.1 Triangles and Angles Pg 194
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Triangles Triangle-figure formed by 3 segments joining 3 noncollinear pts. Triangles are named by these three pts (ΔQRS) Q R S
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Classifying Δs by Angles or Sides Angles Acute Obtuse Right Equiangular Sides Scalene Isosceles Equilateral
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Each of the three points are vertices Adjacent sides- 2 sides sharing a common vertex Third side is opposite the given vertex. A B C
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Parts of a Right Triangle Leg Hypotenuse
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Parts of an Isosceles Triangle Leg Base __ ___
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How can ΔABC be right and isosceles? A B C ____ _____
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Interior Angles )) ))) ( A B C
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Exterior Angles (formed by extending the sides) ( )) (( D E F An exterior angle and its corresponding interior angle add up to 180 ⁰.
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How do we measure an angle with a protractor?
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Thm 4.1:Triangle Sum Thm The sum of the measures of the interior angles of a triangle is 180 o. m A + m B+ m C=180 o A BC
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Thm 4.2: Exterior Angles Thm The measure of an exterior angle of a triangle is equal to the sum of the measures of the 2 nonadjacent interior angles. m 1=m A+ m B 1 A B C
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Corollary to triangle sum thm (Corollary- a statement easily proved using a thm.) * The acute angles of a right triangle are complementary. A B C A is comp. to C
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Assignment Geometry Textbook p. 198-199 (1-9, 31-39)
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