Midterm Review Packet
     CC Geometry H - Day 1
    1) Find the missing sides of the following triangles.
    2) Solve for x and y. State which geometric relationships you used.
                          ≮    ≮       ≮
    3) In parallelogram PQRS, the ratio of the m Q to the m R is 1:5.  Find m Q.
                        l                                                            l
         4) Given a line   and a point P not on the line, construct a parallel line to line   through 
         point P.
                                                     P
                                                                l
                                            ≮
         5) Construct the angle bisector of  A:
                                            A
                                                                         o
                                                              ≮
         6) In rectangle ABCD, diagonal AC is drawn.  If the m DCA = 30 , find the measure 
             ≮
         of m CAD.
           7) Solve for the missing angle(s) and justify your solutions by naming ALL of the 
           geometric relationships used.
                                                   Τ
            Given the diagram below, QF    ST.  Find x and y. 
                        Q
              G
                                  P
                               o
                (2x+y)
                                  o
                          (3x+y)
                      o
                             (x+y)
                              o     T
            S
                        F   3x
                                 E
           8) Solve for x:
                                                                                        x
                                                 b)                            c)
                                                        12
                   x+4
             a)                                                  2x+2
                              9
                                                    7x
                                                                                                      x+15
                                                                   5x­1
                2x
                                12                                                     36
                                                                                              24
            9) If AB bisects  CDE, find the number of degrees in  ADC and  BDE.  State the 
                                  ≮                                              ≮             ≮
            geometric reasons used.  
                                                                                                   A
                                                                                                    D
                                                                                            6x + 2
                                                                                                    10x­70
                                                                                                              E
                                                                                        C
                                                                                                   B
         10) Always, sometimes or never:
         Opposite sides of a quadrilateral are congruent _____________.
         Consecutive sides of a rectangle are congruent _____________.
         A rectangle has perpendicular diagonals ______________.
         A square is a rhombus ______________.
         The opposite angles of a parallelogram have different measures ____________.
         11) In the diagram below of ∆ABC and ∆XYZ, a sequence of rigid motions maps 
         ≮        ≮   ≮       ≮                                                      ≅
           A onto  X,  C onto  Z, and AC onto XZ. Determine and state whether BC   YZ. 
                       
         Explain why.
          12) a) Using a compass and straightedge, construct an altitude of triangle ABC 
          from vertex A to BC.  [Leave all construction marks].
         13) Describe a sequence of transformations that will map ∆ABC onto ∆DEF as 
         shown below.