Answer:
You can use those properties to confirm parallelogram , rectangle, square, rhombus, trapezoid
To confirm the parallelogram you need to verify the pairs of sides are parallel by confirming same slopes.
To confirm the square you need to verify the sides are perpendicular, also the diagonals are perpendicular. The slopes of perpendicular lines are negative-reciprocal.
To confirm the trapezoid you just need to confirm one pair of sides are parallel, with same slope.