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Section 4.6
   Base Angles Theorem:
    ◦ If two sides of a triangle are congruent, then their
      opposite angles are also congruent.


   Converse of the Base Angles Theorem:
    ◦ If two angles of a triangle are congruent, then
      their opposite sides are also congruent
   Equilateral triangles are also
    equiangular

   Equiangular triangles are also
    equilateral
   If the hypotenuse and one leg of a
    right triangle are congruent to those
    of another right triangle, then the two
    triangles are congruent
• Find x


           81
                9x + 18
A                           C

                          x
      82°

                          y
      x
                                  D
  B



Are AB and CD parallel?

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4.6 Special Triangles

  • 2. Base Angles Theorem: ◦ If two sides of a triangle are congruent, then their opposite angles are also congruent.  Converse of the Base Angles Theorem: ◦ If two angles of a triangle are congruent, then their opposite sides are also congruent
  • 3. Equilateral triangles are also equiangular  Equiangular triangles are also equilateral
  • 4. If the hypotenuse and one leg of a right triangle are congruent to those of another right triangle, then the two triangles are congruent
  • 5. • Find x 81 9x + 18
  • 6. A C x 82° y x D B Are AB and CD parallel?