Answer:
Step-by-step explanation:
Refer to attached
You can easily calculate that each of the sides have the length:
- AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]
Parallel sides have equal slopes:
- m = - 4 for AB and CD
- m = - 1/4 for AD and BC
Diagonals are perpendicular as their slopes are negative reciprocal:
- m = 1 for AC
- m = -1 for BD
So we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.
This is the definition of the rhombus.
