I am looking at this responsive image map image map.
This image has different figures once you click on them and by doing so you will see exact shape to be selected.
What tool to use to create image-map and to have an exact shape of the image with corresponding coordinates ?
He used Adobe Fireworks. Fireworks was part of Adobe CS up to CS6. No longer part of the Adobe Creative Cloud Suite.
A guide on making image maps in Fireworks is at http://help.adobe.com/en_US/fireworks/cs/using/WS4c25cfbb1410b0021e63e3d1152b00d35d-7fe6.html
If you don't have Fireworks available, a similar process is available in Dreamweaver https://helpx.adobe.com/dreamweaver/using/image-maps.html or in Photoshop