Answer:
Parallelogram
Step-by-step explanation:
Observation 1:
the sides do not have the same measure √53≠√68 so is NOT a square and NOT a rhombus
Observation 2:
the opposite sides are congruent
AB=CD=√53, and BC=DA=√68
Observation 3:
lines that have the same slope are parallel so opposite sides are also parallel
slope of AB =slope of CD =-2/7, and slope of BC=slope of DA=8/2
so we have 2 pair of sides congruent and parallel but to decide if is a parallelogram or rectangle we need to see if the adjacent sides form 90° or not
Observation 4:
lines that are perpendicular form 90° and their slope is negative reciprocal.
AB slope =-2/7 and slope of BC =8/2 so are NOT perendicular therefore is a parallelogram
