TRIANGLE CONGRUENCE

• Congruence

  denoted by ~ meaning similarity.

  and = meaning the figures have the same size.

  if two figures are congruent, their corresponding angles are congruent.
• two shapes are congruent if they have the same shape and size
• the figures have a different shape and size, they are not similar or congruent.

  
• They have the same shape but different size. meaning, they are similar but not congruent.

  
• the figures have the same shape and size. meaning they are congruent

  
• they have the same shape and size. meaning they are congruent.

  
• the coins of the same denominations are congruent. while the coins with different denominations are not congruent. they have the same shape but different sizes.

  
• A corresponds to D

  B corresponds to E

  C corresponds to F

  AB corresponds to DE

  BC corresponds to EF

  CA corresponds to FD

  
• Properties of Congruence

  Reflexive Property: A = A, AB = AB

  Symmetric Property: if A = B then B = A, if AB = CD then CD = AB

  Transitive Property: if A = B and B = C then A = C, if AB = CD AND CD = EF then AB = EF