Answer:
Short Answer: No
Step-by-step explanation:
In order to be an isosceles trapezoid The distance between (2,2) and (3,-1) must be the same as the distance between (-1,2) and (-3,-1). Just by looking at it, you can tell they are not equal. But math never goes by looks. Let's actually find that distance.
d1 = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )
y2 = 2 y1 = -1 x2 = 2 x1 = 3
d1 = sqrt( (2 - - 1)^2 + (2 -3 ) ^2 )
d1 = sqrt( (3^2) + (-1 )^2 )
d1 = sqrt( 9 + 1)
d1 = sqrt(10)
============
d1 = sqrt( (y2 - y1)^2 + (x2 - x1)^2 )
y2 = 2
y1 = -1
x2 = - 1
x1 = -3
d2 = sqrt ( (2 - - 1)^2 + (-1 - - 3)^2 )
d2= sqrt( ( 3^2) + (-1 + 3)^2 )
d2 = sqrt( 9 + 2^2)
d2 = sqrt( 9 + 4 )
d2 = sqrt(13)
=============≠
sqrt (10) ≠ sqrt(13)
The trapezoid is not isosceles.
