How do i use slope and distance formulas to classify a quadrilateral

You use the slope formula to classify a quadrilateral as a parallelogram or rectangle. you use the distance formula to see if it is a trapezoid.

The question is kind of confusing. if it's asking how many variations of answers can you give. then do 4^5 for your answer.this would be something like the first question could be a and the 2nd c or first b next c etc. if you can, ask the teacher for a better confirmation of what it's asking. if i'm assuming correctly what it's asking, it's 625 different variations.