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What are Equilateral, Isosceles, and Scalene Triangles?

What are equilateral, isosceles, and scalene triangles?

Summary

  1. In an equilateral triangle, all sides are congruent and all angles are congruent
  2. In an isosceles triangle, two sides are congruent and the two angles opposite of those sides are congruent
  3. In a scalene triangle, no sides and no angles are congruent
  4. Sides that are congruent are the same length
  5. Angles that are congruent have the same measure

Notes

    1. All sides are the same length in an equilateral triangle
    2. 'Congruent' simply means 'the same'
    3. The equals sign with a squiggly line over it is the symbol for 'congruent'
    4. The bars over JK, KL, and JL means they are line segments, or sides
    5. All angles are equal in an equilateral triangle
    6. The slanted-looking 'L' is the symbol for 'angle'
    7. The Triangle Sum Theorem says the sum of all angles in a triangle must be 180 degrees
    1. Only two sides are the same length in an isosceles triangle
    2. 'Congruent' simply means 'the same'
    3. The equals sign with a squiggly line over it is the symbol for 'congruent'
    4. The bars over MO and MN means they are line segments
    5. The two equal angles in an isosceles triangle sit opposite of the two congruent sides
    1. Only two sides need to be congruent in an isosceles triangle
    2. All three sides are congruent in an equilateral triangle!
    1. No sides or angles are the same length in a scalene triangle
    2. 'Congruent' simply means 'the same'