**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)**