GEOMETRY                                                               NAME:  ____________________________

CHAPTER ONE REVIEW                                          DATE:  _____________  PERIOD:  ______

 

I.  Using the word bank below, match the letter of the correct term with the corresponding statement.

 

obtuse              acute                DesCartes        coplanar               conjecture   

 

point                 line                   congruent         skew                    collinear

 

plane                postulate           Euclid               angle bisector      inductive

 

origin                space               parallel             counterexample      coplanar

 

1.  Points on the same plane are called _______ points.

2.  Lines that are non-coplanar and do not intersect are called _______.

3.  If two angles have equal measures, then they are called _______ angles.

4. A ray, line, segment, or plane that divides an angle into two congruent smaller angles is 

      called a(n) _______.

5.  The three undefined terms of geometry are______, _______, _______

6.  An angle whose measure is between 90° and 180° is called a(n) _______.

7.  To prove a ____________ is not true, one must provide a counterexample.

8. A statement that is accepted as true with out proof is called a (n) _______.

9.  Points on the same line are called _______ points.

10. The father of geometry is _______.

                                                                                                                                       Z

II.  Use the diagram at the right to answer questions #11- 14                                                                                

                                                                                                                                                   b

                                                                                                                                        E                                                   

                                                                                                                                    

11   Name three coplanar points ________________.                                   A              D         F

                                                                                                           A               B

12.  The intersection of line b and plane A is __________.

                                                                                                                                      C

13.  Name 3 non-collinear points ­­­­________________

 

14.  The intersection of plane Z  and Plane A  is __________.

 

 

 

  III.  Find the following. Write a geometric equation and show work for credit.

    W                                          P

15.  Find WP  _______________                                

  -10      -5                               3           8

 

 

 

 

 

 

 

16.  AB = 2x -5,    BC = 5x + 7,    AC = 10x - 16

                                                                                  A                    B                                      C

x = _________________ ; BC = ____________

 

 

 

 

 

 

 

 

 


                                                                                                         B

17.   AB bisects <FAN                                              F                                           N

        m <FAB= (7x -2)°, m<BAN = (4x + 7) °

         x = _________    m<FAN = ___________                                  A

 

 

 

                                                                                                                                        E

                                                                                                                                           1   2     W

18.  m<1 = (6x + 3)°, m<2 = (4x + 7)°, m<KEW = 50°                                           K

      x = __________    m<2 = ___________

 

 

Use the graph at the right for questions #19 – 21.                  

19.  Graph the points C(-5, -2) and S(1, 4).  Sketch .

                                           

 

20.  Find ______________.  Round answer to the nearest tenth.

 

 

 

 

21.  Find the coordinates of the midpoint of .  ______________

 

 

 

                                                                                                                                 13”

22.  Find the area of the rectangle at the right.______________

                                                                                                            7”

 

23.  Find the area of a square with a perimeter of length 48 cm.  _________

 

Make a sketch and show work for problems 24 – 26.

24.  Find the base of rectangle if the area =  72 cmand the height = 9 cm.   _______________

 

 

 

25.  Find the area of a circle with a diameter = 8”.                                             _________________

       (Leave answer in terms of p.)

 

 

 

26.  Find the circumference of a circle with an area of 49p ft.                   __________________

       (Leave answer in terms of p.)

 

 

 

 

 

 

 

 

27.  Construct the angle bisector of <MOP.  Mark with appropriate congruency arcs.

                                             M

 

 

             O                                            P