Foundation November 2017 Paper 3 Q18

OCRFoundationCurrent spec6 marksConstructions

18 The diagram shows a scale drawing of a park, ABCD.

Scale drawing of quadrilateral park ABCD, with the Entrance marked on side BC. Scale: 1 cm represents 10 m
(a) A straight water pipe runs across the park.
The pipe runs equidistant from DA and DC.

Construct, using compasses and ruler only, the position of the water pipe.
You must show all your construction lines. [2]

(b) A straight path connects the entrance to the exit.
This path is perpendicular to CB.
(i) Construct, using compasses and ruler only, the position of the path.
Leave in all your construction lines. [2]
(ii) Find the actual length of the path, in metres. [2]