4.1 Triangles & Angles
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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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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


Isosceles triangle
Isosceles Triangle

  • Base

  • Leg

  • Leg









Complete each sentence with the word always sometimes or never
Complete each sentence with the word hasalways, sometimes or never.




Theorem 4 1 triangle sum theorem
Theorem 4.1-Triangle Sum Theorem has

  • The sum of the interior angles of a triangle is 180 degrees.





Theorem 4 2 exterior angle theorem
Theorem 4.2-Exterior Angle Theorem has

  • 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 hascorollary 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 has

  • The acute angles of a right triangle are complementary.



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