Toddlers do not dream about themselves

Toddlers do not dream about themselves until around the age of 3. From the same age, children typically have many more nightmares than adults do until age 7 or 8. - Source: The List Universe

It also turns out to be true

A man living in Haridwar dreamt on the first January 1947 that he will be in Benares on the night of the third January. It really turned out to be true. An officer dreams that he will be transferred to Allahabad. In the following morning he gets the transfer order. Another man dreams that he will meet with a motorcar accident on the coming Saturday. It also turns out to be true. - Swami Sivananda

If you are awakened out of REM

If you are awakened out of REM (Rapid Eye Movement) sleep, you are more likely to remember your dream in a more vivid way than you would if you woke from a full night sleep. from: Top 10 Amazing Facts About Dreams; Source: The List Universe

Like in the dream

A woman has a dream in which her favorite horse collapses and buckles to the ground. Disturbed by this nightmarish vision, she wakes up, walks out into the fields in the middle of the night and finds her horse dead, just like in the dream. - from:Can Dreams Predict the Future? By Karin Badt / Source: Huffington Post

It was all just as vivid as real life

And it was all just as vivid as real life… If not more so!

While the body remains asleep, the conscious brain wakes up, injecting the dream with vivid sensory input and empowering you with the ability to control your actions within the dream – and even control the dream itself.
- source:Lucid Dreaming – Waking Up to Alternate Realities , by Rebecca Turner from: evolution ezine

I’m a lucid dreamer

I’m not a lunatic – I’m a lucid dreamer. When I was 14 years old I discovered the art of lucid dreaming: the ability to
become self aware during the dream state. source:Lucid Dreaming – Waking Up to Alternate Realities , by Rebecca Turner from: evolution ezine

They foretell events

Sometimes the dreams are very interesting and turn out to be true. They foretell events. - Swami Sivananda