Geometry Chapter 2 Study Guide 
                        
         Short Answer ( 2 Points Each) 
                        
                  1.  (1 point) 
                       Name the Property of Equality that justifies the statement: 
                       If g = h, then               . 
                        
                  2.  (1 point) 
                       Name the Property of Congruence that justifies the statement: 
                       If                              . 
                        
                  3.  (1 point) 
                       Name the Property of Congruence that justifies the statement: 
                       If                                                 . 
                        
                       Use the given property to complete the statement. 
                        
                  4.  (1 point) 
                       Addition Property of Equality 
                       If              , then ______. 
                        
                  5.  (1 point) 
                       Substitution Property of Equality 
                       If                         , then ______. 
                        
                  6.  (1 point) 
                       Write the conditional statement that the Venn diagram illustrates. 
                                                                                                                                                                                                                                                                     
                                                                                                                                                    Quadrilaterals
                                                                                                                                                                 Squares
                                                                                               
                                                                            7.  (2 points) 
                                                                                              What is the converse of the following conditional? 
                                                                                              If a point is in the first quadrant, then its coordinates are positive. 
                                                                                               
                                                                            8.  (2 points) 
                                                                                              Write the converse of the statement. If the converse is true, write true; if not true, provide a counterexample. 
                                                                                               
                                                                                              If x = 2, then x2 = 4. 
                                                                                               
                                                                            9.  (2 points) 
                                                                                              For the following true conditional statement, write the converse. If the converse is also true, combine the 
                                                                                              statements as a biconditional. 
                                                                                              If x = -10, then x3 = -1000. 
                                                                                               
                                                                       10.  (2 points) 
                                                                                              Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not 
                                                                                              possible. 
                                                                                              I will score well on the exam if I study for 1 hour each day. 
                                                                                              I can afford to buy a ticket. 
                                                                                               
                                                                       11.  (2 points) 
                                                                                              Use the Law of Detachment to draw a conclusion from the two given statements. If not possible, write not 
                                                                                              possible. 
                                                                                              Driving is difficult if the weather is stormy. 
                                                                                              Driving is difficult. 
                                                                                               
                                                                       12.  (2 points) 
                                                                                              Use the Law of Syllogism to draw a conclusion from the two given statements. 
                                                                                              If you exercise regularly, you have a healthy body. 
                                                                                              If you have a healthy body, you have more energy. 
                                                                                               
                                                                                              Fill in each missing reason.  ( 1 Point for each blank) 
                                                                                               
                                                                       13.  (2 points) 
                                                                                              Given:                                                                                                                 ,                                                                                       , and                                                                                         . 
                                                                                              Find x.                                                                                                                                                                       
                                                                                                                             P                                                                R
                                                                                                                                             QQQQ                                                               S
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                                                                                                                                                                                                                                                                                                   a. _____ 
                                                                                                                                                                            x + 3 + x – 7 = 100                                                                                                    b. Substitution Property 
                                                                                                                                                                                                         2x – 4 = 100                                                                              c. Simplify 
                                                                                                                                                                                                                          2x = 104                                                                 d. _____ 
                                                                                                                                                                                                                                      x = 52                                                       e. Division Property of Equality 
                                                                                               
                                                                                               
                                                                       14.  (5 points) 
                                                                                              Given:                                                                                                                                                                                       
                                                                                                                                                          4x                                                        6x + 3
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                                                                       15.  (5 points) 
                                                                                                                 bisects                                                                                                              = 11x.                                                                       =                                              . Find                                                                      Write in two column proof style so 
                                                                                              that you can justify each step. 
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                                               
                                                                       16.  (6 points) 
                                                                                              Find the values of x and y. Write in two column proof style so that you can justify each step. 
                                                                                                                                                        3y°
                                                                                                                                                                               111°
                                                                                                                                       6x – 3°
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                                                                       17.  (3 points)