Page 119 - Math Course 3 (Book 2)
P. 119

Similarity of Polygons
                 Mo. 10


                  Lesson 2                                        Key Concept




                                                                  Similar Polygons
                 KEY CONCEPTS:

                 1. Identify similar figures.                      Words    Two polygons are similar if and only if
                 2. Solve problems involving scale factor.                  their corresponding angles are
                                                                            congruent and the measure of their
                                                                            corresponding sides are proportional.
                                                                   Symbol   ~ is read is similar to

                 MO. 10 - L2a                                      Example
                                                                           B

                    Identifying Similar Figures                                    6 cm
                                                                   7 cm                   C


                                                                                        4 cm
                            Vocabulary A-Z

                            Let us learn some vocabulary           A       8 cm       D         B’
                                                                                                        3 cm
                                                                                         3.5 cm               C’
                similar polygons
                When polygons have the same shape but may be                                                2 cm
                different in size, they are called similar polygons.
                                                                                         A’      4 cm     ‘D
                        B                      E


                                                                                Let’s Begin
                    15          18         5           6




                                                                  Similar Polygons
                     A      9       C      D       3       F

                                When polygons are                    Example
                                similar, we use the
                                following notation:

                                                                   Determine whether each pair of figures is similar.
                                  △ABC ~ △DEF                      Justify your answer


                                Refers to “similar”.
                                                                                K              R         Q




                                                                               400                 500




                                                                           L         M              P

                                                                   The vertex angles are marked as 40º and 50º, so
                                                                   they are not congruent.


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