Broken is an adjective, and describing word. You could use it to describe and very sad depressed person who has no desire to continue for example “ a broken woman”. Broke is a verb in the past tense. The women broke (the action or verb) down in tears. She is breaking down in tears. 2. Correct answer is for. In this context it used like “because”, “for” it was dark and slippery.

1. When she heard the news, the woman broke down in tears. This sentence tells about two events that happened one after another, things like that are always told in simple past. She heard the news and AFTER that when she realised she broke into tears because of the news.

"was broken down" is a passive form - was broken down by whom? No one. This meaning of "to break down" takes no object - it is an action that stays within the subject. You can only create passive sentences if the verb takes an object.

1. The woman broke down in tears= She sobbed uncontrollably. The woman broken down= when a person is broken down, they are emotionally done, beaten, giving up, like a heap on the floor, not crying or doing anything. However, if we were to use the word "broken" it would be "was broken down" and tears would not be included. 2.The word here implies cause. We did not go through the alley, because it was dark and slippery. "d)for" is the only answer that can be used to explain why we did not go through the alley.

Second sentence should be 'for'. Because there is reason for the first sentence on the second sentence.