Page 74 - Year 11 Knowledge Organiser
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Maths Higher: Similarity and Congruency: 1 of 11

      Topic/Skill        Definition/Tips                              Example                                        Your Turn

      Congruent          Shapes are congruent if they are
      Shape              identical -  same shape and same
                         size.



                         Shapes can be rotated or reflected
                         but still be congruent.

      Congruent          4 ways of proving that two triangles
      Triangles          are congruent:



                         1. SSS (Side, Side, Side)
                         2. RHS (Right angle, Hypotenuse,
                         Side)
                         3. SAS (Side, Angle, Side)
                         4. ASA (Angle, Side, Angle) or AAS



                         ASS does not prove congruency.



      Similar Shapes     Shapes are similar if they are the
                         same shape but different sizes.



                         The proportion of the matching sides
                         must be the same, meaning the
                         ratios of corresponding sides are all
                         equal.
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