Can you please help me understand and show as much work as possible, so I can get the steps, thank you

Determine the relationship of ab and cd given the following points

Which expression gives you the distance between the points (5,1)and(9,-6)

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?