Page 95 - Math Course 1 (Book 2)
P. 95

Relationships in Angles





                MO. 9 - L5b                                         Key Concept

                         Perpendicular Lines

                        and Interpret Figures                     Vertical Angles

                                                                   Words     Perpendicular lines intersect to form
                            Vocabulary A-Z                                   four right angles.

                            Let us learn some vocabulary
                                                                             Perpendicular lines intersect to form
                                                                             congruent adjacent angles.

                                                                             Segments and rays can be perpendicular
                perpendicular                                                to lines or the other line segments and
                Lines, segments, or rays that form right angles are          rays.
                perpendicular.
                                                                             The right angle symbol in the f gure
                                              Y                              indicates that the lines are
                            X                                                perpendicular.
                                                                   Symbols ⊥ is read is perpendicular to.



                                                                                                    Y
                                                                                  X
                        W                     Z

                               ↔       ↔
                                WZ   ⊥   WY

                      Symbol ⊥ is read is perpendicular to.
                                                                              W                     Z

                                                                                     ↔       ↔
                             Let’s Begin                                             WZ   ⊥   WY





               Perpendicular Lines

                  Examples



                                                                 ↔ ↔
                 Algebra                                        If KO ⊥ HM, then m∠KJH = 90. To f nd x, use ∠KJI
                            ↔ ↔
                 Find x so that KO ⊥ HM.
                                                                and ∠IJH.
                                                                 m∠KJH = m∠KJI + m∠IJH     Sum of parts = whole
                                                                               90 = (3x + 6) + 9x  Substitution
                                                                               90 = 12x + 6     Add.
                                                                                           Subtract 6 from each
                                                                               84 = 12x
                                                                                           side.
                                                                                 7 = x     Divide each side by 12.

                                                                      Answer                  x = 7



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