Which of the following types of maps shows 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 known as a "conformal map" or "azimuthal map."

The type of map that shows correct shapes and directions but distorts distances or sizes is called a "Mercator Projection." This type of map preserves the angles and shapes of land masses accurately, making it useful for navigation purposes. However, as you move away from the equator towards the poles, the size of the land masses appears increasingly larger than they actually are in reality. This distortion occurs because the Mercator projection stretches the areas near the poles to maintain the shape of the land masses.