Geometry

Solutions

Problem Set #2

1.     Determine how far apart each pair of points are:

 

a)      (5,7)    and   (8,11)     sqrt(32  +  42) = sqrt(25) = 5

 

b)     (4,-1)   and   (8,2)        5

 

c)      (1,9)   and     (6,21)     13

 

d)      (-5, 9)   and  (3,15)      10

 

e)      (3,-9)    and  (23,12)      29

 

2.  Find the point halfway in between  (4,1)    and  (12,7)     (8, 4)

 

3.  What are 6 points that are all 5 units away from the point  (3,4) ?  Your choice!!

 

            (8,4)    and  (-2,4)   horizontally

             (3,9)   and   (3,-1)   vertically

 

             (6,8)       and  (0,0)   at an angle