CONGRUENT TRIANGLES If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent. In other words, two geometric figures are when they have exactly the same size and shape. congruent After any of those transformation (turn, flip or slide), the shape still has the same size, area, angles, and line lengths. The symbol used for congruence is ‘≅’. For example, the is read as ABC is congruent to triangle DEF sentence ‘ΔABC≅ΔDEF’ ‘triangle ’ How to Find if Triangles are Congruent CPCTC: When reporting congruences, you must do so in a way that ‘matches up’ corresponding parts. For example, when you report that then all of the following are true: ΔABC≅ΔDEF, ∠A=∠D ∠B=∠E ∠C=∠F ( represents the distance from to AB=DE AB AA BB) AC=DF BC=EF This property will be referred to as ‘CPCTC’: Corresponding Parts Congruent Triangles Congruent. of are In this congruence ΔABC≅ΔDEF: vertex A corresponds to vertex D. Vertex B corresponds to vertex E. Vertex C corresponds to vertex F. The congruence can be reported in any way that preserves this correspondence between the vertices. For example, here are two other correct ways that the congruence could be reported: or ΔBAC≅ΔEDC ΔCBA≅ΔFED. However, is a correct way to report the congruence indicated above. not ΔBAC≅ΔDEF For more information check METHODS TO FIND OUT CONGRUENCY 1. SSS (side, side, side)
CONGRUENT TRIANGLES If one shape can become another using Turns, Flips and/or Slides, then the shapes are Congruent. In other words, two geometric figures are congruent when they have exactly the same size and shape. After any of those transformation (turn, flip or slide), the shape still has the same size, area, angles, and line lengths. The symbol used for congruence is ‘≅’. For example, the sentence ‘ΔABC≅ΔDEF’ is read as ‘triangle ABC is congruent to triangle DEF ’ How to Find if Triangles are Congruent CPCTC: When reporting congruences, you must do so in a way that ‘matches up’ corresponding parts. For example, when you report that ΔABC≅ΔDEF, then all of the following are true: ∠A=∠D ∠B=∠E ∠C=∠F AB=DE ( AB represents the distance from AA to BB) AC=DF BC=EF This property will be referred to as ‘CPCTC’: Corresponding Parts of Congruent Triangles are Congruent. In this congruence ΔABC≅ΔDEF: vertex A corresponds to vertex D. Vertex B corresponds to vertex E. Vertex C corresponds to vertex F. The congruence can be reported in any way that preserves this correspondence between the vertices. For example, here are two other correct ways that the congruence could be reported: ΔBAC≅ΔEDC or ΔCBA≅ΔFED. However, ΔBAC≅ΔDEF is not a correct way to report the congruence indicated above. For more information check METHODS TO FIND OUT CONGRUENCY 1. SSS (side, side, side)
2_-_congruent_triangles__different_version.docx