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

The correct answer is C. Equal Area projections.

The type of map that shows correct shapes and directions but distorts distances or sizes is known as a "conformal map" or "conformal projection." This type of map preserves angles and shapes locally, making it useful for navigation purposes. However, distances between different points on the map may be distorted, particularly as you move further away from the center of the map. Examples of conformal projections include the Mercator projection and the Transverse Mercator projection.