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Classifying Triangles & Angles of Triangles

Understand the types of triangles based on sides and angles along with angle sum theorem, third angle theorem, and exterior angle theorem. Features jokes related to math.

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Classifying Triangles & Angles of Triangles

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

  2. 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

  3. Classifying Triangles by Sides Scalene Triangle – no sides congruent Isosceles Triangle– At least 2 sides congruent Equilateral Triangle – All sides congruent

  4. Classifying Triangles by Angles 700 500 600 Acute – 3 acute angles Right – 1 right angle 400 Obtuse – one obtuse angle 200 1200 600 Equiangular – all angles congruent 600 600

  5. Parts of an Isosceles Triangle vertex angle leg leg base base angles

  6. Angle Sum Theorem • The sum of the measures of the angles of a triangle is 180. 1000 400 400

  7. Third Angle Theorem • If 2 angles of one triangle are congruent to 2 angles of another triangle, then the third angles are congruent.

  8. Corollariesstatements that can be easily proved using a theorem • Each angle of an equiangular triangle has measure 60. • In a triangle, there can be at most one right angle or obtuse angle. • The acute angles of a right triangle are complementary.

  9. Exterior Angle Theorem • The measure of an exterior angle of a triangle equals the sum of the measures of the 2 remote interior angles. Remote interior angles 350 Exterior 750 400

  10. Joke Time • What has wings and solves number problems? • A mothematician

  11. What did one math book say to the other math book? • Don’t bother me! I’ve got my own problems!

  12. What would a math student say to a fat parrot? • Poly-no-mial

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