#1**+1 **

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

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

ElectricPavlov Nov 28, 2018

#3**+2 **

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 !!!

CPhill Nov 28, 2018