What do you mean by global property?
Global property refers to the basic properties of the global surface that need to be preserved when preparing a map projection. These include distance between any given points of a region, shape of the region, size or area of the region in accuracy, and direction of any one point bearing to another point.
These are the four major global properties that must be preserved in a map. However, no single projection can maintain all these properties simultaneously. Therefore, based on specific needs, a projection is drawn so that the desired quality may be retained.
Explanation
The answer is derived directly from the textbook context which defines Global Property under section 'd'. The four properties listed are: distance, shape, size/area, and direction. The context also clarifies that these properties cannot all be preserved simultaneously in any single projection, which is an important point to mention.