# 8.2.5 Loci in Two Dimensions, PT3 Focus Practice

 
        
Question 9:
 Diagram in the answer space below shows a polygon ABCDEF drawn on a grid of squares with sides of 1 unit. X, Y and Z are the points that move in the polygon.
 
 (a) X is a point which moves such that it is equidistant from point B and point F.
 By using the letters in diagram, state the locus of X.
 
 (b) On the diagram, draw
 (i) the locus of the point Y which moves such that it is always parallel and equidistant from the straight lines BA and CD.
 (ii) the locus of point Z which moves such that its distance is constantly 6 units from the point A.
 
 (c) Hence, mark with the symbol         $\otimes$         the intersection of the locus of Y and the locus of Z.
 
 Answer:
 
(b)(i), (ii) and (c)
 
   
 Solution:
       
(a) The locus of X is AD.
 
 
       
(b)(i),(ii) and (c)