Page 36 - Math Course 3 (Book 2)
P. 36

Properties of Trapezoids





          MO. 7 - L6b
                                                                         Let’s Begin

                 Isosceles Trapezoids


                                                           Identify Isosceles Trapezoids


                     Vocabulary A-Z                           Example

                     Let us learn some vocabulary
                                                            The top of this work station appears to be two
                                                            adjacent trapezoids. Determine if they are
         isosceles trapezoid                                isosceles trapezoids.
         It is called an Isosceles trapezoid if the sides that
         aren’t parallel are equal in length and both angles
         coming from a parallel side are equal


                A                            B




                                                            Each pair of base angles is congruent, so the legs
                                                            are the same length.



                                                               Answer      Both trapezoids are isosceles
                      D                C


         THEOREMS                                          Identify Trapezoids


         Isosceles Trapezoid                                  Example

         7.18 Each pair of base angles of an isosceles
               trapezoid are congruent.
                                                           ABCD is a quadrilateral with vertices A(5, 1),
                                                           B(–3, –1), C(–2, 3), and D(2, 4). Verify that
         7.19 The diagonals of an isosceles trapezoid are   ABCD is a trapezoid.
               congruent

         Example:               A                   B               C(–2, 3)           D(2, 4)

               ∠DAB ≅ ∠CBA
               ∠ADC ≅ ∠BCD                                                         A(5, 1)
                  AC ≅ BD

                                    D           C                   B(–3, –1)






                                                            A quadrilateral is a trapezoid if exactly one pair of
                                                            opposite sides are parallel. Use the Slope Formula.





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