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    Home
    Algebra
    Math Games
  • Decimals in Space
  • Fraction Balls
  • Integers in Space
  • Math Man
  • Number Balls
  • Geometry
    Interactive
    Trigonometry
    Jobs
  • Tutoring jobs
  • New York Tutoring Jobs
  • White Plains, NY
  • Westchester County, NY
  • Chicago Math Jobs
  • Philadelphia
  • Teacher Resources
    On FaceBook!

    Angle Side Angle Postulate

    Proving Congruent Triangles With ASA

    The Angle Side Angle postulate (often abbreviated as ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then these two triangles are congruent.
     Example of Angle Side Angle Proof  

    Included Side


    The included side means the side between two angles. In other words it is the side 'included between' two angles.
    Identify Angle Side Angle Relationships
    In which pair of triangles pictured below could you use the Angle Side Angle postulate (ASA) to prove the triangles are congruent?
     Answer 

    Identify angle side angle triangles

    An Angle Side Angle Proof



    Prove that LMO NMO
    Use the ASA postulate to prove Triangle symbolACBCongruent DCB
    We can use the Angle Side Angle postulate to prove that the opposite sides and the opposite angles of a parallelogram are congruent
    Given: ABCD is a parallelogram.
    Remember the definition of parallelogram: a quadrilateral that thas two pairs of opposite parallel sides.

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