Matchstick Patterns

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule.
A pattern of letter $\mathrm{A}$ as 

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule.
A pattern of letter $\mathrm{S}$ as 

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule.
A pattern of letter $\mathrm{E}$ as 

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule.
A pattern of the letter $\mathrm{V}$ as

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule.
A pattern of letter U as

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule. A pattern of the letter Z:

Find the rule which gives the number of matchsticks required to make the given matchstick pattern. Use a variable to write the rule. A pattern of letter T as

We already know the rule for the pattern of letters L, C and F. Some of the letters give us the same rule as that given by L. Which are these? Why does this happen?

(a) A pattern of letter T as  

(b) A pattern of letter Z as  

(c) A pattern of letter U as  

(d) A pattern of letter V as  

(e) A pattern of letter E as  

(f) A pattern of letter S as 

(g) A pattern of letter A as