Page 77 - Math Course 1 (Book 2)
P. 77

Measurements in Geometry




               Length in Customary Units
                                                                   MO. 9 - L2b
                 Find the Length  AZ
                  A                  Z                                Computing with Measures



                                                                              Vocabulary A-Z

                                                                              Let us learn some vocabulary
                 A. 6 in.

                    1
                 B. 1      in.
                    4
                                                                   betweenness of points
                 C. 2 in.                                          in any two real numbers a and b, there is a real
                                                                   number n between a and b such that a < n < b.
                    1
                 D. 1      in.  Answer                                        3y + 1
                    2
                                                                                                   QR = QP + PR
                                                                            2y           21       Betweenness of
                 Find the length of IX  .                                                             points.
                  I                  X                            Q                   P        R

                                                                   Between

                                                                   a point is between another 2 points if, and only if,
                                                                   the 3 points are collinear and AB + BC = AC
                    1
                 A. 2       in.
                    2
                 B. 2 in.

                    1
                 C. 2       in.                                    A                 B        C
                    4
                    3
                 D. 2       in.  Answer                            congruent
                    4                                              When segments have the same measure, they are
                                                                   said to be congruent.
               Length in Customary Units
                                                                                                    3.3 cm
                                                                   AB and BC are congruent
                 A. PRECISION  Find the precision for 88 millimeters.                         3.3 cm        A
                                                                     (they have the same            B
                 A. 0.25 mm                                              measure).           C
                 B. 0.5 mm
                 C. 1 mm    Answer                                 absolute error
                 D. 2 mm
                                                                   The absolute value of the difference between the
                                                   5               exact measure/value of an object and the
                 B. PRECISION  Find the precision for 7       inches.
                                                   8               allowable measurement.
                   1
                 A.      in.
                  16                                               E  = | p – p* |        E  = | 10.5 – 10.501 |
                                                                    abs
                                                                                           abs
                   1
                 B.      in.                                       Exact Value:           E  = .001m
                   8                                                                       abs
                   1                                               p = 10.5m
                 C.      in.                                                              E  = 1mm
                   2                                                                       abs
                                                                   Measurement:
                 D. 1 in.   Answer                                 p* = 10.501m


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