Final answer:
The type of rider that would be added to an Accident and Health policy to ensure the policy continues if the policy owner becomes totally disabled is the Waiver of Premium Rider. This rider waives the premium payments if the policyholder becomes totally disabled, allowing the policy to remain in force without continued payments.
Step-by-step explanation:
The type of rider that would be added to an Accident and Health policy in order to ensure the policy continues if the policy owner becomes totally disabled is the Waiver of Premium Rider. This rider waives the premium payments if the policyholder becomes totally disabled, allowing the policy to remain in force without the need to continue making premium payments. In this way, the policyholder is still protected even if they are unable to work due to their disability.