Quadrilateral ABCD has coordinates (3, 1), (4, 4), (7, 5), (6, 2). Quadrilateral ABCD is a...

Question

.sam. · Answer

rhombus

accessdenied · Answer

find the slopes of each side.  that would be the first step. 
-  if it has no parallel sides, it could be a kite or just be a normal quadrilateral. 
-  if it has one pair of parallel sides, it would be a trapezoid, which could be a right trapezoid or isosceles trapezoid.  we can check which by checking distance of nonparallel sides and checking for perpendicular lines
- if it has two pairs of parallel sides, itd be a parallelogram.  we could figure out if it was a rectangle, rhombus, square, or a normal parallelogram by looking at perpendicular slopes and the lengths of sides.