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4.1 Triangles & Angles

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4.1 Triangles & Angles - PowerPoint PPT Presentation


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4.1 Triangles & Angles. A Triangle. Is a figure formed by three segments Joining three noncollinear points ….it has Sides ….. And Angles. Triangles can be classified by sides. Scalene (no sides equal) Isosceles (as least 2 sides equal) Equilateral (3 congruent sides).

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Presentation Transcript
a triangle
A Triangle
  • Is a figure formed by three segments
  • Joining three noncollinear points….it has
  • Sides…..
  • And Angles.
triangles can be classified by sides
Triangles can be classified by sides..
  • Scalene (no sides equal)
  • Isosceles (as least 2 sides equal)
  • Equilateral (3 congruent sides)
a triangle can be classified by angles
A Triangle can be classified by ANGLES…
  • Acute (3 acute angles)
  • Right (1 right angle)
  • Obtuse (1 obtuse angle)
  • Equiangular (3 congruent angles)
triangle vocabulary
Triangle Vocabulary
  • Vertex A
  • Vertex B
  • Vertex C
triangle vocabulary1
Triangle Vocabulary
  • Side opposite angle A
  • Side oppositeangle B
  • Side opposite angle C
right triangles
Right Triangles
  • Hypotenuse
  • Leg
  • Leg
theorem 4 1 triangle sum theorem
Theorem 4.1-Triangle Sum Theorem
  • The sum of the interior angles of a triangle is 180 degrees.
theorem 4 2 exterior angle theorem
Theorem 4.2-Exterior Angle Theorem
  • The measure of an exterior angle of a triangle is equal to the sum of the two nonadjacent interior angles.
a corollary to a theorem
A corollary to a theorem
  • Is a statement that can be proved easily using a theorem
  • Think of it as a mini-theorem.
corollary to the triangle sum theorem
Corollary to the triangle sum theorem
  • The acute angles of a right triangle are complementary.
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