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Transcript

  • 1. Terms of Endearment Triangles and Angles: 4.1
  • 2. Triangle
    • Figure formed by 3 segments joining 3 non-collinear points
  • 3. Classification by Sides
    • Equilateral Triangle
      • 3 congruent sides
    • Isosceles Triangle
      • At least 2 congruent sides
    • Scalene Triangle
      • No congruent sides
  • 4. Classification by Angles
    • Acute Triangle
      • 3 acute angles
    • Equiangular Triangle
      • 3 congruent angles
    • Right Triangle
      • 1 right angle
    • Obtuse Triangle
      • 1 obtuse angle
  • 5. Vertex
    • Each of the 3 points joining the sides of a triangle
  • 6. Adjacent Sides
    • Two sides sharing a common vertex
  • 7. Right Triangles
    • Legs – Sides that form the right angle
    • Hypotenuse – Side opposite the right angle
  • 8. Isosceles Triangle
    • Leg – the two congruent sides
    • Base – the third side (non-congruent)
  • 9. Interior Angles
    • When the sides of the triangle are extended, the interior angles are the original angles (inside the triangle)
  • 10. Exterior Angles
    • When the sides of a triangle are extended, the exterior angles are the angles adjacent to the interior angles (form a linear pair to the original angles)
  • 11. Triangle Sum Theorem
    • The sum of the measures of the interior angles of a triangle is 180 degrees
  • 12. Exterior Angle Theorem
    • The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles
  • 13. Corollary to a theorem
    • Statement easily proven using the theorem
  • 14. Corollary to the Triangle Sum Theorem
    • The acute angles of a right triangle are complementary