please help asap ty

Show that two sides are parallel ...they have the SAME slope.

Show that the OTHER two sides are the SAME LENGTH.    Proof !

Here you go RP

Find the slope of MA  = [ 3 -1] / [ 1 - - 1 ]  =  2/2  = 1

Find the slope  RK   =  [3  - - 2] / [ 4 - -1]  = 5/5 = 1

So....since the slops are equal, MA and RK are parallel

Find the distance between  A and R =

sqrt   [ (- 1 - -1)^2 + ( 1 - -2)^2 ]  = sqrt [ 0^2 + 3^2]  sqrt (9)  =  3

Find the distance between M and K

sqrt [ (4 - 1)^2 + (3 - 3)^2 ]  =  sqrt [ 3^2 + 0^2] = sqrt (9) = 3

So AR = MK

So....two opposite sides are parallel   and two  opposite non-parallel sides are equal....so isosceles trapezoid !!!