Final answer:
A Vernier Caliper is a measuring gauge commonly used in automotive shops for precise measurement of various components.
Step-by-step explanation:
The type of measuring gauge used in automotive shops mentioned in the options is the Vernier Caliper. This tool is utilized primarily for measuring the distance between two opposite sides of an object, often in environments where precision is crucial, such as in automotive workshops for measuring parts like brake rotors, engine components, or any other precise measurement needing a high degree of accuracy. On the contrary, a pH Meter is used for measuring the acidity or alkalinity of a solution, typically not associated with automotive practices. A Barometer measures atmospheric pressure and is more relevant to weather prediction than to automotive work. Lastly, a Geiger Counter detects and measures ionizing radiation, and although it has critical uses in various fields such as nuclear physics and radiological protection, it is not typically a tool found in automotive shops.