The answer is (a) leader:follower
because here the needle acts as a leader(shows the path) and thread as a follower(follow the needle)

Original pair of words: Needle : thread

Relationship: The word "needle" is a tool that is used to sew or stitch fabric. The word "thread" is the material that is used with a needle to sew or stitch fabric. In other words, a needle is used in conjunction with thread to perform a specific task.

Possible options:
a) Leader : follower
b) Bat : ball
c) Prick : sew
d) Pin : cushion

Explanation:
Let's analyze each option to determine the correct answer:

a) Leader : follower
- The relationship between a leader and a follower is one of authority and direction. A leader is someone who guides or directs others, while a follower is someone who follows the instructions or guidance of a leader. This relationship is different from the relationship between a needle and thread, as a needle and thread are used together to perform a task, rather than one being in a position of authority over the other.

b) Bat : ball
- The relationship between a bat and a ball is one of interaction in a game. A bat is an object used to hit a ball in sports like baseball or cricket. While there is a degree of interaction between a needle and thread (the needle passes through the thread to sew fabric), the relationship between a bat and ball does not capture the same concept of interdependence and use.

c) Prick : sew
- This option reflects a similar relationship to the original pair of words. The word "prick" is a verb that means to puncture or pierce something with a sharp object. Similarly, the word "sew" is also a verb that means to join or fasten things together using a needle and thread. Both "prick" and "sew" involve the use of a needle or sharp object to create a specific outcome, making this option a potential match.

d) Pin : cushion
- The relationship between a pin and a cushion is one of placement or attachment. A pin is a small, sharp object used to secure or attach things, such as pinning fabric to a cushion. While both a needle and a pin are sharp objects used in sewing, the relationship between a pin and a cushion does not capture the same concept of interdependence and use as the relationship between a needle and thread.

Conclusion:
Based on the analysis above, the pair of words that has a similar relationship to "needle : thread" is "prick : sew" (option c). Both pairs involve the use of a sharp object (needle/prick) in conjunction with a specific action (thread/sew) to achieve a desired outcome.