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5.1 Parallel lines


               ✦     Exercise 5.1


               1  Look at the diagram.
                  a  Write down four pairs of corresponding angles.                                            u°
                                                                                                            t°
                  b  Write down two pairs of alternate angles.                                             w°  v°
                                                                                              p°  q°
                                                                                                 r°
                                                                                               s°


               2  In the diagram, the size of one angle is 62 °.
                  Copy and complete these two sentences.
                  a  Because corresponding angles are equal, angle .…. = 62 °.
                  b  Because alternate angles are equal, angle .…. = 62 °.                         62 °     a ° b °
                                                                                                          d ° c °





               3  In the diagram, the sizes of two angles are marked.
                  a  What other angles are 105 °?                                               105°  75°
                                                                                                 p° q°
                  b  What other angles are 75 °?

                                                                                               r° s°
                                                                                              t° u°
                                                                                          Diagram not drawn accurately

               4  Angle APY is marked on the diagram.                                                       X
                  Copy and complete these sentences.
                  a  APY and CQY are … angles.                                                           P       B
                  b  APY and XQD are … angles.                                               A
                  c  APX and … are corresponding angles.                                                         D
                  d  CQX and … are alternate angles.                                         C       Q
                                                                                                  Y

               5   The capital letter F has corresponding angles and
                  the letter Z has alternate angles.
                  a  What other capital letters have corresponding angles?
                  b  What other capital letters have alternate angles?

               6  Look at the diagram.                                                       A         C
                  Explain why AB and CD cannot be parallel lines.
                                                                                        X    50 °
                                                                                                 S
                                                                                             130 °      40 °  T
                                                                                                         140 °   Y

                                                                                                               D
                                                                                                     B
                                                                                        Diagram not drawn accurately




       52      5 Angles
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