Math Theorems

• An angle in a triangle forming a linear pair with an Interior angle. These angles are outside a triangle.

  Exterior Angle
• A pair of Interior angles that do not form a linear pair with the exterior angle

  Remote interior Angle
• If the angle is an exterior angle, then it is greater than any of its remote interior angles. What theorem is this?

  Exterior Angle Theorem
• In a triangle, the sum of the lengths of two sides are greater than the length of the 3rd side. What theorem is this?

  Triangle Inequality Theorem
• If one side of a triangle is longer than the second, then the angle opposite the longer side is larger than the angle the opposite side. What theorem is this?

  Unequal Sides Theorem 
• Is the Unequal Sides Theorem the same as Unequal Angles Theorem but with angles?

  Yessir
• Longer side = Bigger Side ; Shorter side = Smaller Angle


  Unequal Sides/Angles Theorem
• If two triangles have two sets of congruent angles...

  Largest included angle = longest side

  The Hinge Theorem
• If two triangles have two sets of congruent angles... Longest third side = largest included angle


  Converse of the Hinge Theorem
• Triangle Angle Sum Theorem is a theorem wherein the the sum of the measures of a triangle is 180°