Geometry B Exam Review                       
                   The following formulas will be provided in the examination booklet: 
                      Formulas for Areas of Polygons                          Coordinate Geometry Formulas 
                    
                    
           Area of a Triangle:                                         Slope:         Distance:                         
                    
                    
           Area of a Rectangle:           
                                                                       Midpoint:  
                    
                    
           Area of a Trapezoid:                    
                    
                                                                                       Right Triangles 
                    
           Area of a Parallelogram:              
                                                                          B 
           Area of a Regular Polygon:
                                                                                    c                          
                                                                           a 
             
                                                                        
                                                                          C       b         A 
                              Circle Formulas                           
                                                                        
                    
           Area of a Circle:                                            
                    
                    
           Circumference of a circle:                   
                                                                                                    
                    
           Arc Length of a Circle:
                    
                    
             
                    
                    
                                                                                   Special Right Triangles 
                    
           Area of a Sector of a Circle:                  
                                                                        
                    
           Area of a Segment of a Circle:        
                                                                                 o        
                   Area of sector – Area of triangle                           45                       o
                                                                            a                   2a    30  
                                                                                       o
           Angle and Arc Formulas:                                                   45                         
                                                                                   a 
                                                                                                   o
                                                                                                 60  
                                                                                                   a 
                    
                    
                    
                                                                   
                    
                    
                    
                    
                    
                    
                    
                    
                    
                   MCPS © 2012–2013                                                                        1 
                                 Geometry B Exam Review                                                          
                                 The following formulas will be provided in the examination booklet: 
                                                                          Formulas for Volume (V) and Surface Area (SA) 
                                  
                                     Right Prism 
                                  
                                             VBharea of base  height
                                  
                                             SA2B Ph2area of base + perimeterheight
                                  
                                      Right Circular Cylinder 
                                                                                                              2
                                             VBh area of base  height = rh                                                                                     
                                             SA2B Ch2basecircumference height 2r2 2rh
                                                                                                                                    
                                      Right Pyramid 
                                                     11
                                             VBh  area of base  height
                                                     33
                                                              11
                                             SAB               Pl  area of base +                       perimeter of base  slant height
                                                              22
                                          Right Cone 
                                                       11                                                           1
                                                                                                                            2
                                             VB           harea of base  height =  rh
                                                       33                                                           3
                                                           2
                                             SAr              rl
                                                                                                                                                                            
                                       Sphere 
                                                     4       3
                                             Vr 
                                                     3
                                             SA4r2
                                                                                                        Other Formulas 
                                                                                             222
                                  Diagonal of a Prism                            DLWH
                                  Geometric Mean of Two Numbers                                          ab
                                 MCPS © 2012–2013                                                                                                                                            2 
                           Geometry B Exam Review                                          
                            
                           For items 1 through 3, determine the area of the following composite figures. If the figure 
                           is shaded, find the area of the shaded portion of the figure.                                    Note: Figures NOT drawn to scale 
                            
                            
                           1.                             2.                                                   3.   OR  and OS are radii 
                                                                                                                                   R 
                                                                             16 in 
                                        12 cm                                                                    8 ft 
                                                                                                                     S 
                                                                                                                             8 ft    O 
                                        20 cm           16 in                                   16 in 
                            
                            
                            
                                                                             16 in 
                            
                            
                           For items 4 and 5, determine the probability that a dart will hit the shaded area of the 
                           target. 
                            
                                                                                                               Note: Figure NOT 
                           4.        drawn to scale 
                            
                                                            3 in 
                                                  6 in 
                            
                            
                            
                                     A           1    B                         1    C                          1    D                         3  
                                                 4                              3                               2                              4
                            
                            
                           5.                      7 in 
                                                                                                               Note: Figure NOT 
                                       5 in                                                                    drawn to scale 
                               10 in 
                            
                            
                            
                                                    10 in 
                            
                                     A            7    B                        3   C  13   D                                                   7   
                                                 20                             5                               20                             10
                            
                            
                            
                           MCPS © 2012–2013                                                                                                            3 
               Geometry B Exam Review               
                
               6.     Which of the following statements are true? 
                
                a. 7535 
                
                b. 35 5 
                              7
                
                c. 103 7 
                
                d. 5611 
                
                e. 321624 2 
                
                
               For items 7 through 9, determine the distance between the following pairs of points.  
                
               7.      2,6 and 5,9            
                            
               8.      3,6 and 2,1   
                      
               9.      1, 1 and  2,5  
                                 
                
                
               10. Given: Quadrilateral ROTS with vertices as labeled below. 
                
                     Show that:  If the midpoints of the sides of this quadrilateral are connected, then 
                     the figure formed has opposite sides that are congruent. 
                                                     S(6,6) 
                                              Q 
                                   R(2,4) 
                
                                                               M 
                                  P 
                
                
                
                
                           O(0,0)             N                  T(8,0) 
                
                
                 
               MCPS © 2012–2013                                                       4