Step 1: Understand what map projections do.
Map projections convert the curved, three-dimensional surface of the Earth into a flat, two-dimensional map.
Since this transformation is mathematical, it is impossible to preserve all geographic properties at the same time.
As a result, every projection introduces some form of distortion.
Step 2: Review how projections are categorized.
Map projections are grouped according to the geographic property they preserve best:
Step 3: Final conclusion.
The type of map projection that is specifically designed to preserve local angles and shapes is the conformal projection.