Geometry – What I’ve Learned So Far

  • Scalene, Equilateral, and Isosceles Triangles

    Congruent triangles means they are identical to each other. All angles and all sides are the same.

  • Isosceles triangle means two sides are identical and one side is different, also two angles are the same and one angle is different.  The two angles that are the same are called base angles, they are also congruent.  The different angle is called the vertex.
  • Equilateral triangles are triangles with all equal sides and angles.  The angles in an equilateral triangle are always 60 degrees.
  • A Scalene triangle has no equal sides or angles.
  • Supplementary angles are two angles that add up to 180 degrees.
  • Complimentary angles are two angles that add up to 90 degrees.
  • In an acute triangle is a triangle where none of the angles are equal to or greater than 90 degrees.
  • An obtuse triangle is a triangle that has one angle that is more than 90 degrees.  The other two angles must be acute angles.
  • A right triangle has one right angle that measures 90 degrees.  The other two angles must be acute angles.
  • Congruent line segments are line segments that have the same length and congruent angles are angles that have the same measurement in degrees.
  • Side-Side-Side (SSS) – if the three sides of two triangles are congruent then the two triangles are congruent.
  • Side-Angle-Side (SAS) – if they give you two sides of a triangle and one angle and they are equal to two corresponding sides of another triangle then they are congruent.