4-1 and 4-2 Angles of a Triangle

# 4-1 and 4-2 Angles of a Triangle - angles are congruent...

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Classifying Triangles & Angles of Triangles Sections 4-1 & 4-2

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A triangle is the figure formed by 3 segments joining 3 noncollinear 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 50 0 60 0 70 0 120 0 40 0 20 0 60 0 60 0 60 0
Parts of an Isosceles Triangle leg leg base vertex angle base angles

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Angle Sum Theorem The sum of the measures of the angles of a triangle is 180. 40 0 40 0 100 0
Third Angle Theorem If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third

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Unformatted text preview: angles are congruent. Corollaries statements that can be easily proved using a theorem 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. Exterior Angle Theorem 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! What would a math student say to a fat parrot? Poly-no-mial...
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4-1 and 4-2 Angles of a Triangle - angles are congruent...

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