Geometry Semester 2 Final Study Guide 
        1. Using the figure to the right, answer the following questions: 
        a) What is the sum of its interior angles? 
        b) What is the sum of its exterior angles? 
        c) If the figure is a regular polygon, how many degrees does one of its exterior angles have? 
        d) If the figure is a regular polygon, how many degrees does one of its interior angles have?   
        2. Classify each of the quadrilaterals below with the most specific name: 
         
         
         
        ____________________           ____________________           ___________________            __________________ 
        3. The quadrilateral below is a parallelogram.                4. The quadrilateral to the right is a kite. 
        Solve for x and y.                                                 Solve for x. 
         
         
         
         
         
        Find the length of the leg. If your answer is not an integer, leave it in simplest radical form. 
        5.                             6.                                     7.  
         
         
         
         
         
         
         
        Find the value of the variable. If your answer is not an integer, leave it in simplest radical form. 
        8.                                     9.                                    10.  
         
         
         
         
         
        Verify that the segment lengths below form a triangle. Is the triangle right, acute, or obtuse? Are the segment 
        lengths Pythagorean triples? 
        11. 5, 12, and 13                                             12. 
, 4, and 6 
             Write the ratios for sin Y, cos Y, and tan Y. 
             13.                                                                                             14.  
              
              
              
              
             Find the value of x. Round to the nearest tenth. 
              
             15.                                                         16.                                                         17.   
              
              
              
              
              
              
              
             18.                                                         19.                                                         20.   
              
              
              
              
              
             21. Use the chart below to answer the questions.                                                22. At a carnival, a stone is randomly drawn out of  
                                                                                                             a bag and replaced. The table below shows the 
                                                Surfing Style                      
                                                                                                             results of 50 draws. Estimate the probability of  
                                                                                                             choosing a Jade stone. 
                                          Regular  Advanced  Total 
                                                                                                           Outcome  Garnet  Opal  Jade  Marble  Diamond 
                      r      Male             86                24             110                         Draws                   7          11          6          12               14 
                      e
                      d
                      n   
                      e    Female             77                18              95 
                      G
                       
                                                                                                             23.  
                            Total             163               42             205 
               
             a) What is the probability that a person is male? 
             b) What is the probability that someone has an 
             advanced surfing style, if she’s female? 
             c) If someone has a regular surfing style, what is 
             the probability that they’re male?                                                                                                                
                                                                                                             24.  If                      , what is ()? 
              
         25. The cards below are shuffled and you choose one at random. If you pick a card and then immediately 
         replace it in the deck before shuffling the deck again, what is the probability that you pick a red card and then 
         shuffle and pick a black card? 
         Find the number of red cards.  red cards: 6 
         Find the number of black cards. black cards: 6 
         Find the number of outcomes.  outcomes: ___ 
          
          
          
          
          
         Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x. 
         (Figures are not drawn to scale.) 
         26. m∠O = 150
                                                    27.         29
  
          
          
          
          
         28. In the figure,     and      are tangent to                    29. Circle O and circle P are congruent. 
          circle O and       bisects       .                               What can you conclude from the diagram? 
          If          = 41, find          . 
          
          
          
          
          
          
          
          
          
          
         30. What is x?                                                    31.     and      are diameters. 
                                                                           Find the measure of         . 
          
          
          
          
          
          
          
          
          
          
        32. Write the equation of a circle with center M (7, -10) and radius 6. 
         
        33. Write the standard form of the equation of the circle with radius 3 and center at (0, 0). 
         
        34. The radius of Circle O is 5.2 units.                         35. The diameter of Circle P is 6.4 units. 
        Find the diameter, circumference, and area.                      Find the radius, circumference, and area. 
                                                                                                 
         
        Find the area.  
         
        36.                                     37.                             38.   
         
         
         
         
         
         
         
        Find the volume. 
        39.                                          40.                                41.   
         
         
         
         
         
        42.                                     43.                                     44.