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9                                             Geometry

















        9.1  Lines and Angles
        9.2  Plane Figures and Solids
        9.3  Perimeter
        9.4  Area
        9.5  Volume and Surface Area
            Integrated Review—Geometry
            Concepts
                                       The word geometry is formed from the Greek words geo, meaning Earth, and metron, meaning measure.
        9.6  Congruent and Similar Triangles
                                       Geometry literally means to measure the Earth. In this chapter we learn about various geometric figures and their
                                       properties such as perimeter, area, and volume. Knowledge of geometry can help us solve practical problems in
                                       real-life situations. For instance, knowing certain measures of a circular swimming pool allows us to calculate how
                                       much water it can hold.
            Vocabulary Check
            Chapter Highlights
                                           ou may have seen Shaun White win the men’s snowboarding halfpipe competi-
            Chapter Review                 tion during the 2010 Winter Olympics, but what is a halfpipe?
            Chapter Test               YA halfpipe is a semicircular ditch with a flat bottom that is usually constructed
                                       on a downward slope.The depth of the ditch can be between 8 and 22 feet.As you
            Cumulative Review
                                       see below, there are many measurements taken to ensure a safe and approved half-
                                       pipe. In addition, the snow must be carefully prepared and packed.
                                          Throughout this chapter, we work with lines, angles, circumferences, and other
                                       geometric concepts that give us an appreciation of the work that goes into con-
                                       structing a halfpipe.
                                                    FIS Snowboard World Cup Half-Pipe Dimensions
                                                               for 18 Foot (5.4 m) Pipe

                                                                                            17.5–18 m  6–7.5 m
                                                                                                0.2 m

                                                                                          5.4 m
                                                           100–150 m


                                                                                                    dirt wall angle:
                                                                                        10 m
                                                                                                    at least 45


                                                                                              at least 5.5 m
                                                   16–17
                                                                       at least 9 m
                                                                                            15 m




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