STAAR GEOMETRY                                                                                                                                                                                                                              TM
                                                                                                                                                                                                                                             STAAR
                                                                                                                                                                                                                                                  State of Texas 
                            REFERENCE MATERIALS                                                                                                                                                                                                  Assessments of 
                                                                                                                                                                                                                                              Academic Readiness
                              CIRCUMFERENCE
                            Circle                                                                                                     Cr= 2π                                               or                                   Cd= π
                              AREA
                            Triangle                                                                                                                                                                                             A = 1bh
                                                                                                                                                                                                                                              2
                            Rectangle or parallelogram                                                                                                                                                                           A = bh
                            Rhombus                                                                                                                                                                                              A = 1dd
                                                                                                                                                                                                                                              2 12
                                                                                                                                                                                                                                 A = 1()+ b
                            Trapezoid                                                                                                                                                                                                               b                  h
                                                                                                                                                                                                                                              2 12
                            Regular polygon                                                                                                                                                                                      A = 1aP
                                                                                                                                                                                                                                              2
                            Circle                                                                                                                                                                                               A = πr2
                              SURFACE AREA
                                                                                                                                         Lateral                                                                                               Total
                             Prism                                                                                                     SP= h                                                                                     SP=+hB2
                                                                                                                                                   1                                                                                          1
                             Pyramid                                                                                                   SP=                 l                                                                     SP=+l B
                                                                                                                                                   2                                                                                          2
                             Cylinder                                                                                                                                                                                                                                   2
                                                                                                                                       Sr= 2π h                                                                                  Sr=+22ππhr
                             Cone                                                                                                      Sr= π l                                                                                                                    2
                                                                                                                                                                                                                                 Sr=+ππl                       r
                             Sphere                                                                                                                                                                                                    =               2
                                                                                                                                                                                                                                 Sr4
                                                                                                                                                                                                                                                 π
                              VOLUME
                             Prism or cylinder                                                                                                                                                                                   VB= h
                                                                                                                                                                                                                                              1
                             Pyramid or cone                                                                                                                                                                                     VB=                 h
                                                                                                                                                                                                                                              3
                                                                                                                                                                                                                                              4         3
                             Sphere                                                                                                                                                                                              Vr=              π
                                                                                                                                                                                                                                              3
              STAAR GEOMETRY
              REFERENCE MATERIALS
               COORDINATE GEOMETRY
                                                                             ++
                                                                           xxyy
              Midpoint                                                      1212
                                                                         (        ,      )
                                                                             22
              Distance formula                                                         2          2
                                                                          dx=−()xy+−()y
                                                                                 2121
                                                                              yy
                                                                                 −
              Slope of a line                                             m= 21
                                                                              xx
                                                                                 −
                                                                               21
              Slope-intercept form of a linear equation                   ym=+xb
              Point-slope form of a linear equation                       yy−=mx()−x
                                                                               11
              Standard form of a linear equation                          Ax+By=C
               RIGHT TRIANGLES
                                                                           222
                                                                          abc
              Pythagorean theorem                                           +=
              Trigonometric ratios                                                             B
                   sin A = opposite leg
                           hypotenuse
                   cosA = adjacent leg                               
                           hypotenuse
                   tan A = opposite leg                                   A                    C
                           adjacent leg
                   30° – 60° – 90° triangle                               45° – 45° – 90° triangle
                                      60°                                          45°
                           2x             x                                 x 2        x
                      30°                                                  45°
                             x 3                                                x