A reduced adjective clause begins with either a present participle or a past participle. It's simple to know which one to use: if the reduced clause is made from an active verb, start the adjective clause with the present participle, but if it's made from a passive verb, begin the adjective clause with a past participle. For example, the ordinary adjective clause in the first example:
Example 1
reduces to:
We use “carrying” in the reduced clause because it comes from the active verb in the original clause.
Example 2
  | Example |  Adjective Clause |  Verb in the adjective clause |  
   | The people who worked there got a raise last year. |  who worked there |  “worked” is active |  
  
This reduces to:
  | Example |  Reduced Adjective Clause |  Participle that starts the reduced clause |  
   | The people working there got a raise last year. |  working there |  working |  
  
Example 3
  | Example |  Adjective Clause |  Verb in the adjective clause |  
   | The books which were published that year are expensive. |  which were published that year |  “were published” is passive |  
  
reduces to:
  | Example |  Reduced Adjective Clause |  Participle that starts the reduced clause |  
   | The books published that year are expensive. |  published that year |  published |