Answer
AB is perpendicular to BC and AD (-5/2 * 2/5 = 1)
CD is perpendicular to BC and AD (-5/2 * 2/5 = 1)
AB and CD are parallel
BC and AD are parallel
opposite sides are parallel and adjacent sides are perpendicular, thus the shape is a rectangle
Work Step by Step
slope of AB:
$m=(3--2)/(-3--1)$
$m = 5/-2$
$m = -5/2$
slope of CD:
$m =(5-0)/(2-4)$
$m = 5/-2$
$m= -5/2$
slope of BC:
$m=(0--2)/(4--1)$
$m= 2/5$
slope of AD:
$m = (5-3)/(2--3)$
$m = 2/5$
AB is perpendicular to BC and AD (-5/2 * 2/5 = 1)
CD is perpendicular to BC and AD (-5/2 * 2/5 = 1)
AB and CD are parallel
BC and AD are parallel
opposite sides are parallel and adjacent sides are perpendicular, thus the shape is a rectangle
