What type of chart consists of horizontal bars connected with arrows to show task dependencies?

The chart that consists of horizontal bars connected with arrows to show task dependencies is known as a PERT chart. PERT, which stands for Program Evaluation Review Technique, is used primarily to analyze the tasks involved in completing a project, particularly in terms of their durations and dependencies. In a PERT chart, tasks are represented as nodes, and the arrows indicate the relationships and dependencies between these tasks, helping project managers visualize the sequence of activities and identify the critical path.

While a Gantt chart, which was mentioned in the answer, utilizes horizontal bars to depict project schedules over time, it does not graphically represent task dependencies with arrows in the same way a PERT chart does. Gantt charts primarily show start and end dates rather than the interrelationships between tasks. A flowchart is focused on processes and decisions rather than project scheduling, and a network diagram is more general and can include various types of network representations, but is also not specific to task dependencies as highlighted in a PERT chart.

In summary, the PERT chart is designed specifically to illustrate task dependencies through connecting arrows, making it the correct answer for the question posed.