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3-3 Parallel Lines and the Triangle Angle-Sum Theorem

# 3-3 Parallel Lines and the Triangle Angle-Sum Theorem -...

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Parallel Lines & the Triangle Angle-Sum Theorem Section 2-4

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A triangle is the figure formed by 3 segments joining 3 collinear points. Each of the 3 points is a vertex . The segments are the sides . A B C CA BC AB Sides , , : A, B, C Vertices points :
Classifying Triangles by Sides Scalene Triangle no sides congruent Isosceles Triangle At least 2 sides congruen Equilateral Triangle All sides congruent

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Classifying Triangles by Angles Right 1 right angle Equiangular – all angles congruent Acute 3 acute angles Obtuse one obtuse angle
Triangle Angle-Sum Theorem (Thm 3-7) The sum of the measures of the angles of a triangle is 180. 40 0 40 0 100 0

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Corollaries 1 –4 If 2 angles of one triangle are congruent to 2

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Unformatted text preview: angles of another triangle, then the third angles are congruent. Each angle of an equiangular triangle has measure 60. In a triangle, there an be at most one right angle or obtuse angle. The acute angles of a right triangle are complementary. Triangle Exterior Angle Theorem (Thm 3-8) The measure of an exterior angle of a triangle equals the sum of the measures of the 2 remote interior angles. 75 35 40 Exterior Remote interior angles Joke Time What has wings and solves number problems? A mothematician What did one math book say to the other math book? Dont bother me! Ive got my own problems!...
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