Which of the following types of maps show correct shapes and directions but distorts distances or sizes

The type of map that shows correct shapes and directions but distorts distances or sizes is called a conic projection map.

The type of map that shows correct shapes and directions but distorts distances or sizes is called a "conic projection" map. This type of map is created by projecting the Earth's surface onto a cone, which results in accurate depiction of shapes and directions, particularly in mid-latitude regions. However, because the Earth is a sphere and cannot be perfectly represented on a flat surface, distances and sizes tend to be distorted as the cone projection expands away from the central point.