4.1Triangles &amp; Angles

# 4.1Triangles &amp; Angles - D E F Thm 4.1:Triangle Sum...

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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
Classifying Δ s by Angles or Sides Angles Acute Obtuse Right Equiangular Sides Scalene Isosceles Equilateral

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Each of the three pts are vertices Adjacent sides- 2 sides sharing a common vertex Third side is opposite the given vertex. A B C
Parts of a Right Triangle Leg Leg Hypotenuse

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Parts of an Isosceles Triangle Leg Leg Base __ ___
How can ΔABC be right and isosceles? A B C ____ _____

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Interior Angles )) ))) ( A B C
Exterior Angles (formed by extending the sides)

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Unformatted text preview: ( )) (( D E F 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 B C 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 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 Assignment Assignment...
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4.1Triangles &amp; Angles - D E F Thm 4.1:Triangle Sum...

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