Poverty can also be a trap because the simple solution (just giving someone money to alleviate poverty) isn't the same as earned success. When you feel like you've earned money through hard work and you feel like you're a contributor and needed and respected by your peers it brings a significant amount of satisfaction and happiness in life, which in turn drives you to be more productive and alters the way you think a…
Perhaps you don't understand that many people in poverty have jobs. In fact many have multiple jobs, because it's the only way they can stay afloat financially.
Workfare is not a solution. The economy either needs to be reinvented with stable jobs and financial democracy, or essentials - not just cash, but education, health-care, and housing - need to be provided for free, and the cost of economic self-development made so low that anyone with an idea and a hint of a work ethic can try it out without being terrorised by the prospect of absolute economic failure and destruction.