Classifying Triangles

Classifying Triangles

1. Classified with Side Lengths

   • Equilateral Triangle
     • 3 sides with same lengths.
     • 3 equal angles
   • Isosceles Triangle
     • 2 equal sides
     • 2 equal angles
   • Scalene Triangle
     • Has no sides that are equal
     • No equal angles

2. Classified with Angles

   • Obtuse Triangle
     • Has one angle that is obtuse, and 2 acute angles
   • Right Triangle
     • Has 1 angle that is a right angle
   • Acute Triangles
     • Has all the angles that are acute

3. Angles

   • All the interior angles add up to 180
     • Only one angle possible.
     • Sum of a line is 180

4. Triangle Congrunency signs

   • Tick marks on sides mean its congruent
   • The semi circles in a triangle means that those angles are congruent.
   • A square in one angle means it's a right angle.

5. SAS Theorem

   • 2 triangles are equal if 2 sides and the angle between those 2 sides are equal.

6. SSS Theorem

   • All sides are equal.

7. ASA Theorem

   • If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.